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Finding the Fourth Proportional to 5,657.13, 8,491.10 and 3,470.13

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Solution

The fourth proportional to 5,657.13, 8,491.10 and 3,470.13 is: 5,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.13 : 8,491.10 = 3,470.13 : x
  2. Step 2: Convert to fraction form
    5,657.13/8,491.10 = 3,470.13/x
  3. Step 3: Cross multiply
    5,657.13x = 8,491.10 × 3,470.13
  4. Step 4: Simplify right side
    5,657.13x = 29,465,203.49
  5. Step 5: Solve for x
    x = 29,465,203.49/5,657.13
  6. Step 6: Final answer
    x = 5,208.51

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