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Finding the Fourth Proportional to 3,412.59, 5,117.79 and 1,332.09

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Solution

The fourth proportional to 3,412.59, 5,117.79 and 1,332.09 is: 1,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.59 : 5,117.79 = 1,332.09 : x
  2. Step 2: Convert to fraction form
    3,412.59/5,117.79 = 1,332.09/x
  3. Step 3: Cross multiply
    3,412.59x = 5,117.79 × 1,332.09
  4. Step 4: Simplify right side
    3,412.59x = 6,817,356.88
  5. Step 5: Solve for x
    x = 6,817,356.88/3,412.59
  6. Step 6: Final answer
    x = 1,997.71

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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.