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Finding the Fourth Proportional to 3,186.59, 4,781.75 and 1,337.56

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Solution

The fourth proportional to 3,186.59, 4,781.75 and 1,337.56 is: 2,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.59 : 4,781.75 = 1,337.56 : x
  2. Step 2: Convert to fraction form
    3,186.59/4,781.75 = 1,337.56/x
  3. Step 3: Cross multiply
    3,186.59x = 4,781.75 × 1,337.56
  4. Step 4: Simplify right side
    3,186.59x = 6,395,853.62
  5. Step 5: Solve for x
    x = 6,395,853.62/3,186.59
  6. Step 6: Final answer
    x = 2,007.12

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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.