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Finding the Fourth Proportional to 5,138.54, 7,707.80 and 4,737.28

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Solution

The fourth proportional to 5,138.54, 7,707.80 and 4,737.28 is: 7,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.54 : 7,707.80 = 4,737.28 : x
  2. Step 2: Convert to fraction form
    5,138.54/7,707.80 = 4,737.28/x
  3. Step 3: Cross multiply
    5,138.54x = 7,707.80 × 4,737.28
  4. Step 4: Simplify right side
    5,138.54x = 36,514,006.78
  5. Step 5: Solve for x
    x = 36,514,006.78/5,138.54
  6. Step 6: Final answer
    x = 7,105.92

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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.