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Finding the Fourth Proportional to 5,472.48, 7,552.04 and 3,114.76

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Solution

The fourth proportional to 5,472.48, 7,552.04 and 3,114.76 is: 4,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.48 : 7,552.04 = 3,114.76 : x
  2. Step 2: Convert to fraction form
    5,472.48/7,552.04 = 3,114.76/x
  3. Step 3: Cross multiply
    5,472.48x = 7,552.04 × 3,114.76
  4. Step 4: Simplify right side
    5,472.48x = 23,522,792.11
  5. Step 5: Solve for x
    x = 23,522,792.11/5,472.48
  6. Step 6: Final answer
    x = 4,298.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.