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Finding the Fourth Proportional to 5,200.31, 7,801.22 and 1,502.57

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Solution

The fourth proportional to 5,200.31, 7,801.22 and 1,502.57 is: 2,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.31 : 7,801.22 = 1,502.57 : x
  2. Step 2: Convert to fraction form
    5,200.31/7,801.22 = 1,502.57/x
  3. Step 3: Cross multiply
    5,200.31x = 7,801.22 × 1,502.57
  4. Step 4: Simplify right side
    5,200.31x = 11,721,902.39
  5. Step 5: Solve for x
    x = 11,721,902.39/5,200.31
  6. Step 6: Final answer
    x = 2,254.08

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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.