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Finding the Fourth Proportional to 4,141.92, 5,715.20 and 2,373.28

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Solution

The fourth proportional to 4,141.92, 5,715.20 and 2,373.28 is: 3,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.92 : 5,715.20 = 2,373.28 : x
  2. Step 2: Convert to fraction form
    4,141.92/5,715.20 = 2,373.28/x
  3. Step 3: Cross multiply
    4,141.92x = 5,715.20 × 2,373.28
  4. Step 4: Simplify right side
    4,141.92x = 13,563,769.86
  5. Step 5: Solve for x
    x = 13,563,769.86/4,141.92
  6. Step 6: Final answer
    x = 3,274.75

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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.