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Finding the Fourth Proportional to 3,580.14, 5,371.14 and 1,115

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Solution

The fourth proportional to 3,580.14, 5,371.14 and 1,115 is: 1,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.14 : 5,371.14 = 1,115 : x
  2. Step 2: Convert to fraction form
    3,580.14/5,371.14 = 1,115/x
  3. Step 3: Cross multiply
    3,580.14x = 5,371.14 × 1,115
  4. Step 4: Simplify right side
    3,580.14x = 5,988,821.10
  5. Step 5: Solve for x
    x = 5,988,821.10/3,580.14
  6. Step 6: Final answer
    x = 1,672.79

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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.