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Finding the Fourth Proportional to 4,773.78, 7,158.11 and 2,174.42

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Solution

The fourth proportional to 4,773.78, 7,158.11 and 2,174.42 is: 3,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.78 : 7,158.11 = 2,174.42 : x
  2. Step 2: Convert to fraction form
    4,773.78/7,158.11 = 2,174.42/x
  3. Step 3: Cross multiply
    4,773.78x = 7,158.11 × 2,174.42
  4. Step 4: Simplify right side
    4,773.78x = 15,564,737.55
  5. Step 5: Solve for x
    x = 15,564,737.55/4,773.78
  6. Step 6: Final answer
    x = 3,260.46

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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.