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Finding the Fourth Proportional to 5,684,272.74, 7,844,065.11 and 3,106,042.74

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Solution

The fourth proportional to 5,684,272.74, 7,844,065.11 and 3,106,042.74 is: 4,286,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,272.74 : 7,844,065.11 = 3,106,042.74 : x
  2. Step 2: Convert to fraction form
    5,684,272.74/7,844,065.11 = 3,106,042.74/x
  3. Step 3: Cross multiply
    5,684,272.74x = 7,844,065.11 × 3,106,042.74
  4. Step 4: Simplify right side
    5,684,272.74x = 24,364,001,487,002.80
  5. Step 5: Solve for x
    x = 24,364,001,487,002.80/5,684,272.74
  6. Step 6: Final answer
    x = 4,286,212.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.