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Finding the Fourth Proportional to 3,117.31, 4,675.92 and 927.52

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Solution

The fourth proportional to 3,117.31, 4,675.92 and 927.52 is: 1,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.31 : 4,675.92 = 927.52 : x
  2. Step 2: Convert to fraction form
    3,117.31/4,675.92 = 927.52/x
  3. Step 3: Cross multiply
    3,117.31x = 4,675.92 × 927.52
  4. Step 4: Simplify right side
    3,117.31x = 4,337,009.32
  5. Step 5: Solve for x
    x = 4,337,009.32/3,117.31
  6. Step 6: Final answer
    x = 1,391.27

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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.