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Finding the Fourth Proportional to 5,468.24, 8,201.82 and 1,572.32

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Solution

The fourth proportional to 5,468.24, 8,201.82 and 1,572.32 is: 2,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.24 : 8,201.82 = 1,572.32 : x
  2. Step 2: Convert to fraction form
    5,468.24/8,201.82 = 1,572.32/x
  3. Step 3: Cross multiply
    5,468.24x = 8,201.82 × 1,572.32
  4. Step 4: Simplify right side
    5,468.24x = 12,895,885.62
  5. Step 5: Solve for x
    x = 12,895,885.62/5,468.24
  6. Step 6: Final answer
    x = 2,358.32

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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.