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Finding the Fourth Proportional to 5,101.92, 7,658.34 and 4,289.16

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Solution

The fourth proportional to 5,101.92, 7,658.34 and 4,289.16 is: 6,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.92 : 7,658.34 = 4,289.16 : x
  2. Step 2: Convert to fraction form
    5,101.92/7,658.34 = 4,289.16/x
  3. Step 3: Cross multiply
    5,101.92x = 7,658.34 × 4,289.16
  4. Step 4: Simplify right side
    5,101.92x = 32,847,845.59
  5. Step 5: Solve for x
    x = 32,847,845.59/5,101.92
  6. Step 6: Final answer
    x = 6,438.33

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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.