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Finding the Fourth Proportional to 3,863.68, 5,332.56 and 2,292.64

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Solution

The fourth proportional to 3,863.68, 5,332.56 and 2,292.64 is: 3,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.68 : 5,332.56 = 2,292.64 : x
  2. Step 2: Convert to fraction form
    3,863.68/5,332.56 = 2,292.64/x
  3. Step 3: Cross multiply
    3,863.68x = 5,332.56 × 2,292.64
  4. Step 4: Simplify right side
    3,863.68x = 12,225,640.36
  5. Step 5: Solve for x
    x = 12,225,640.36/3,863.68
  6. Step 6: Final answer
    x = 3,164.25

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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.