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Finding the Fourth Proportional to 5,042.66, 7,564.53 and 1,532.66

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Solution

The fourth proportional to 5,042.66, 7,564.53 and 1,532.66 is: 2,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.66 : 7,564.53 = 1,532.66 : x
  2. Step 2: Convert to fraction form
    5,042.66/7,564.53 = 1,532.66/x
  3. Step 3: Cross multiply
    5,042.66x = 7,564.53 × 1,532.66
  4. Step 4: Simplify right side
    5,042.66x = 11,593,852.55
  5. Step 5: Solve for x
    x = 11,593,852.55/5,042.66
  6. Step 6: Final answer
    x = 2,299.15

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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.