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Finding the Fourth Proportional to 5,651.52, 8,478.40 and 4,008.64

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Solution

The fourth proportional to 5,651.52, 8,478.40 and 4,008.64 is: 6,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.52 : 8,478.40 = 4,008.64 : x
  2. Step 2: Convert to fraction form
    5,651.52/8,478.40 = 4,008.64/x
  3. Step 3: Cross multiply
    5,651.52x = 8,478.40 × 4,008.64
  4. Step 4: Simplify right side
    5,651.52x = 33,986,853.38
  5. Step 5: Solve for x
    x = 33,986,853.38/5,651.52
  6. Step 6: Final answer
    x = 6,013.75

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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.