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Finding the Fourth Proportional to 3,937.68, 5,434.74 and 2,366.28

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Solution

The fourth proportional to 3,937.68, 5,434.74 and 2,366.28 is: 3,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.68 : 5,434.74 = 2,366.28 : x
  2. Step 2: Convert to fraction form
    3,937.68/5,434.74 = 2,366.28/x
  3. Step 3: Cross multiply
    3,937.68x = 5,434.74 × 2,366.28
  4. Step 4: Simplify right side
    3,937.68x = 12,860,116.57
  5. Step 5: Solve for x
    x = 12,860,116.57/3,937.68
  6. Step 6: Final answer
    x = 3,265.91

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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.