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Finding the Fourth Proportional to 5,658.87, 8,468.24 and 4,174.58

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Solution

The fourth proportional to 5,658.87, 8,468.24 and 4,174.58 is: 6,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.87 : 8,468.24 = 4,174.58 : x
  2. Step 2: Convert to fraction form
    5,658.87/8,468.24 = 4,174.58/x
  3. Step 3: Cross multiply
    5,658.87x = 8,468.24 × 4,174.58
  4. Step 4: Simplify right side
    5,658.87x = 35,351,345.34
  5. Step 5: Solve for x
    x = 35,351,345.34/5,658.87
  6. Step 6: Final answer
    x = 6,247.07

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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.