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Finding the Fourth Proportional to 3,937.84, 5,434.45 and 2,259.24

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Solution

The fourth proportional to 3,937.84, 5,434.45 and 2,259.24 is: 3,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.84 : 5,434.45 = 2,259.24 : x
  2. Step 2: Convert to fraction form
    3,937.84/5,434.45 = 2,259.24/x
  3. Step 3: Cross multiply
    3,937.84x = 5,434.45 × 2,259.24
  4. Step 4: Simplify right side
    3,937.84x = 12,277,694.00
  5. Step 5: Solve for x
    x = 12,277,694.00/3,937.84
  6. Step 6: Final answer
    x = 3,117.88

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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.