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Finding the Fourth Proportional to 3,117.57, 4,674.96 and 925.53

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Solution

The fourth proportional to 3,117.57, 4,674.96 and 925.53 is: 1,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.57 : 4,674.96 = 925.53 : x
  2. Step 2: Convert to fraction form
    3,117.57/4,674.96 = 925.53/x
  3. Step 3: Cross multiply
    3,117.57x = 4,674.96 × 925.53
  4. Step 4: Simplify right side
    3,117.57x = 4,326,815.73
  5. Step 5: Solve for x
    x = 4,326,815.73/3,117.57
  6. Step 6: Final answer
    x = 1,387.88

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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.