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Finding the Fourth Proportional to 5,414.78, 7,472.62 and 3,056.91

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Solution

The fourth proportional to 5,414.78, 7,472.62 and 3,056.91 is: 4,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.78 : 7,472.62 = 3,056.91 : x
  2. Step 2: Convert to fraction form
    5,414.78/7,472.62 = 3,056.91/x
  3. Step 3: Cross multiply
    5,414.78x = 7,472.62 × 3,056.91
  4. Step 4: Simplify right side
    5,414.78x = 22,843,102.60
  5. Step 5: Solve for x
    x = 22,843,102.60/5,414.78
  6. Step 6: Final answer
    x = 4,218.66

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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.