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Finding the Fourth Proportional to 5,684,597.40, 7,844,649.30 and 3,106,218.72

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Solution

The fourth proportional to 5,684,597.40, 7,844,649.30 and 3,106,218.72 is: 4,286,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,597.40 : 7,844,649.30 = 3,106,218.72 : x
  2. Step 2: Convert to fraction form
    5,684,597.40/7,844,649.30 = 3,106,218.72/x
  3. Step 3: Cross multiply
    5,684,597.40x = 7,844,649.30 × 3,106,218.72
  4. Step 4: Simplify right side
    5,684,597.40x = 24,367,196,507,494.90
  5. Step 5: Solve for x
    x = 24,367,196,507,494.90/5,684,597.40
  6. Step 6: Final answer
    x = 4,286,529.86

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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.