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Finding the Fourth Proportional to 4,338.88, 6,508.64 and 1,567.20

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Solution

The fourth proportional to 4,338.88, 6,508.64 and 1,567.20 is: 2,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.88 : 6,508.64 = 1,567.20 : x
  2. Step 2: Convert to fraction form
    4,338.88/6,508.64 = 1,567.20/x
  3. Step 3: Cross multiply
    4,338.88x = 6,508.64 × 1,567.20
  4. Step 4: Simplify right side
    4,338.88x = 10,200,340.61
  5. Step 5: Solve for x
    x = 10,200,340.61/4,338.88
  6. Step 6: Final answer
    x = 2,350.92

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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.