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Finding the Fourth Proportional to 5,042.41, 7,564.16 and 1,532.41

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Solution

The fourth proportional to 5,042.41, 7,564.16 and 1,532.41 is: 2,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.41 : 7,564.16 = 1,532.41 : x
  2. Step 2: Convert to fraction form
    5,042.41/7,564.16 = 1,532.41/x
  3. Step 3: Cross multiply
    5,042.41x = 7,564.16 × 1,532.41
  4. Step 4: Simplify right side
    5,042.41x = 11,591,386.76
  5. Step 5: Solve for x
    x = 11,591,386.76/5,042.41
  6. Step 6: Final answer
    x = 2,298.78

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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.