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Finding the Fourth Proportional to 4,658.44, 6,987.88 and 1,538.73

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Solution

The fourth proportional to 4,658.44, 6,987.88 and 1,538.73 is: 2,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.44 : 6,987.88 = 1,538.73 : x
  2. Step 2: Convert to fraction form
    4,658.44/6,987.88 = 1,538.73/x
  3. Step 3: Cross multiply
    4,658.44x = 6,987.88 × 1,538.73
  4. Step 4: Simplify right side
    4,658.44x = 10,752,436.31
  5. Step 5: Solve for x
    x = 10,752,436.31/4,658.44
  6. Step 6: Final answer
    x = 2,308.16

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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.