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Finding the Fourth Proportional to 5,104.84, 7,042.80 and 3,215.92

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Solution

The fourth proportional to 5,104.84, 7,042.80 and 3,215.92 is: 4,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.84 : 7,042.80 = 3,215.92 : x
  2. Step 2: Convert to fraction form
    5,104.84/7,042.80 = 3,215.92/x
  3. Step 3: Cross multiply
    5,104.84x = 7,042.80 × 3,215.92
  4. Step 4: Simplify right side
    5,104.84x = 22,649,081.38
  5. Step 5: Solve for x
    x = 22,649,081.38/5,104.84
  6. Step 6: Final answer
    x = 4,436.79

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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.