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Finding the Fourth Proportional to 5,138.52, 7,700.88 and 2,668.20

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Solution

The fourth proportional to 5,138.52, 7,700.88 and 2,668.20 is: 3,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.52 : 7,700.88 = 2,668.20 : x
  2. Step 2: Convert to fraction form
    5,138.52/7,700.88 = 2,668.20/x
  3. Step 3: Cross multiply
    5,138.52x = 7,700.88 × 2,668.20
  4. Step 4: Simplify right side
    5,138.52x = 20,547,488.02
  5. Step 5: Solve for x
    x = 20,547,488.02/5,138.52
  6. Step 6: Final answer
    x = 3,998.72

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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.