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Finding the Fourth Proportional to 5,001.57, 7,502.45 and 1,538.82

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Solution

The fourth proportional to 5,001.57, 7,502.45 and 1,538.82 is: 2,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.57 : 7,502.45 = 1,538.82 : x
  2. Step 2: Convert to fraction form
    5,001.57/7,502.45 = 1,538.82/x
  3. Step 3: Cross multiply
    5,001.57x = 7,502.45 × 1,538.82
  4. Step 4: Simplify right side
    5,001.57x = 11,544,912.41
  5. Step 5: Solve for x
    x = 11,544,912.41/5,001.57
  6. Step 6: Final answer
    x = 2,308.26

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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.