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Finding the Fourth Proportional to 3,139.92, 4,332.89 and 1,723.64

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Solution

The fourth proportional to 3,139.92, 4,332.89 and 1,723.64 is: 2,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.92 : 4,332.89 = 1,723.64 : x
  2. Step 2: Convert to fraction form
    3,139.92/4,332.89 = 1,723.64/x
  3. Step 3: Cross multiply
    3,139.92x = 4,332.89 × 1,723.64
  4. Step 4: Simplify right side
    3,139.92x = 7,468,325.16
  5. Step 5: Solve for x
    x = 7,468,325.16/3,139.92
  6. Step 6: Final answer
    x = 2,378.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.