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Finding the Fourth Proportional to 4,737.42, 7,101.96 and 3,417.90

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Solution

The fourth proportional to 4,737.42, 7,101.96 and 3,417.90 is: 5,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.42 : 7,101.96 = 3,417.90 : x
  2. Step 2: Convert to fraction form
    4,737.42/7,101.96 = 3,417.90/x
  3. Step 3: Cross multiply
    4,737.42x = 7,101.96 × 3,417.90
  4. Step 4: Simplify right side
    4,737.42x = 24,273,789.08
  5. Step 5: Solve for x
    x = 24,273,789.08/4,737.42
  6. Step 6: Final answer
    x = 5,123.84

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