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Finding the Fourth Proportional to 3,580.46, 5,371.25 and 1,114.76

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Solution

The fourth proportional to 3,580.46, 5,371.25 and 1,114.76 is: 1,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.46 : 5,371.25 = 1,114.76 : x
  2. Step 2: Convert to fraction form
    3,580.46/5,371.25 = 1,114.76/x
  3. Step 3: Cross multiply
    3,580.46x = 5,371.25 × 1,114.76
  4. Step 4: Simplify right side
    3,580.46x = 5,987,654.65
  5. Step 5: Solve for x
    x = 5,987,654.65/3,580.46
  6. Step 6: Final answer
    x = 1,672.31

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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.