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Finding the Fourth Proportional to 6,952.60, 10,428.90 and 3,489.04

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Solution

The fourth proportional to 6,952.60, 10,428.90 and 3,489.04 is: 5,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.60 : 10,428.90 = 3,489.04 : x
  2. Step 2: Convert to fraction form
    6,952.60/10,428.90 = 3,489.04/x
  3. Step 3: Cross multiply
    6,952.60x = 10,428.90 × 3,489.04
  4. Step 4: Simplify right side
    6,952.60x = 36,386,849.26
  5. Step 5: Solve for x
    x = 36,386,849.26/6,952.60
  6. Step 6: Final answer
    x = 5,233.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.