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Finding the Fourth Proportional to 3,117.20, 4,674.68 and 925.36

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Solution

The fourth proportional to 3,117.20, 4,674.68 and 925.36 is: 1,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.20 : 4,674.68 = 925.36 : x
  2. Step 2: Convert to fraction form
    3,117.20/4,674.68 = 925.36/x
  3. Step 3: Cross multiply
    3,117.20x = 4,674.68 × 925.36
  4. Step 4: Simplify right side
    3,117.20x = 4,325,761.88
  5. Step 5: Solve for x
    x = 4,325,761.88/3,117.20
  6. Step 6: Final answer
    x = 1,387.71

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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.