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Finding the Fourth Proportional to 4,313.14, 5,951.14 and 3,119.87

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Solution

The fourth proportional to 4,313.14, 5,951.14 and 3,119.87 is: 4,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.14 : 5,951.14 = 3,119.87 : x
  2. Step 2: Convert to fraction form
    4,313.14/5,951.14 = 3,119.87/x
  3. Step 3: Cross multiply
    4,313.14x = 5,951.14 × 3,119.87
  4. Step 4: Simplify right side
    4,313.14x = 18,566,767.55
  5. Step 5: Solve for x
    x = 18,566,767.55/4,313.14
  6. Step 6: Final answer
    x = 4,304.70

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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.