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Finding the Fourth Proportional to 5,700.72, 8,553.78 and 3,948.42

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Solution

The fourth proportional to 5,700.72, 8,553.78 and 3,948.42 is: 5,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.72 : 8,553.78 = 3,948.42 : x
  2. Step 2: Convert to fraction form
    5,700.72/8,553.78 = 3,948.42/x
  3. Step 3: Cross multiply
    5,700.72x = 8,553.78 × 3,948.42
  4. Step 4: Simplify right side
    5,700.72x = 33,773,916.03
  5. Step 5: Solve for x
    x = 33,773,916.03/5,700.72
  6. Step 6: Final answer
    x = 5,924.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.