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Finding the Fourth Proportional to 4,658.20, 6,988.52 and 1,538.68

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Solution

The fourth proportional to 4,658.20, 6,988.52 and 1,538.68 is: 2,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.20 : 6,988.52 = 1,538.68 : x
  2. Step 2: Convert to fraction form
    4,658.20/6,988.52 = 1,538.68/x
  3. Step 3: Cross multiply
    4,658.20x = 6,988.52 × 1,538.68
  4. Step 4: Simplify right side
    4,658.20x = 10,753,095.95
  5. Step 5: Solve for x
    x = 10,753,095.95/4,658.20
  6. Step 6: Final answer
    x = 2,308.42

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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.