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Finding the Fourth Proportional to 4,275.52, 5,894.88 and 2,781.28

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Solution

The fourth proportional to 4,275.52, 5,894.88 and 2,781.28 is: 3,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.52 : 5,894.88 = 2,781.28 : x
  2. Step 2: Convert to fraction form
    4,275.52/5,894.88 = 2,781.28/x
  3. Step 3: Cross multiply
    4,275.52x = 5,894.88 × 2,781.28
  4. Step 4: Simplify right side
    4,275.52x = 16,395,311.85
  5. Step 5: Solve for x
    x = 16,395,311.85/4,275.52
  6. Step 6: Final answer
    x = 3,834.69

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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.