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Finding the Fourth Proportional to 3,382.49, 5,073.10 and 916.99

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Solution

The fourth proportional to 3,382.49, 5,073.10 and 916.99 is: 1,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.49 : 5,073.10 = 916.99 : x
  2. Step 2: Convert to fraction form
    3,382.49/5,073.10 = 916.99/x
  3. Step 3: Cross multiply
    3,382.49x = 5,073.10 × 916.99
  4. Step 4: Simplify right side
    3,382.49x = 4,651,966.99
  5. Step 5: Solve for x
    x = 4,651,966.99/3,382.49
  6. Step 6: Final answer
    x = 1,375.31

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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.