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Finding the Fourth Proportional to 3,386.53, 5,057.29 and 3,349.87

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Solution

The fourth proportional to 3,386.53, 5,057.29 and 3,349.87 is: 5,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.53 : 5,057.29 = 3,349.87 : x
  2. Step 2: Convert to fraction form
    3,386.53/5,057.29 = 3,349.87/x
  3. Step 3: Cross multiply
    3,386.53x = 5,057.29 × 3,349.87
  4. Step 4: Simplify right side
    3,386.53x = 16,941,265.20
  5. Step 5: Solve for x
    x = 16,941,265.20/3,386.53
  6. Step 6: Final answer
    x = 5,002.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.