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Finding the Fourth Proportional to 5,658.24, 8,478.28 and 3,802.52

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Solution

The fourth proportional to 5,658.24, 8,478.28 and 3,802.52 is: 5,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.24 : 8,478.28 = 3,802.52 : x
  2. Step 2: Convert to fraction form
    5,658.24/8,478.28 = 3,802.52/x
  3. Step 3: Cross multiply
    5,658.24x = 8,478.28 × 3,802.52
  4. Step 4: Simplify right side
    5,658.24x = 32,238,829.27
  5. Step 5: Solve for x
    x = 32,238,829.27/5,658.24
  6. Step 6: Final answer
    x = 5,697.68

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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.