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Finding the Fourth Proportional to 5,124, 7,648.56 and 4,398.24

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Solution

The fourth proportional to 5,124, 7,648.56 and 4,398.24 is: 6,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124 : 7,648.56 = 4,398.24 : x
  2. Step 2: Convert to fraction form
    5,124/7,648.56 = 4,398.24/x
  3. Step 3: Cross multiply
    5,124x = 7,648.56 × 4,398.24
  4. Step 4: Simplify right side
    5,124x = 33,640,202.53
  5. Step 5: Solve for x
    x = 33,640,202.53/5,124
  6. Step 6: Final answer
    x = 6,565.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.