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Finding the Fourth Proportional to 3,824.52, 5,274.86 and 2,565.16

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Solution

The fourth proportional to 3,824.52, 5,274.86 and 2,565.16 is: 3,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.52 : 5,274.86 = 2,565.16 : x
  2. Step 2: Convert to fraction form
    3,824.52/5,274.86 = 2,565.16/x
  3. Step 3: Cross multiply
    3,824.52x = 5,274.86 × 2,565.16
  4. Step 4: Simplify right side
    3,824.52x = 13,530,859.88
  5. Step 5: Solve for x
    x = 13,530,859.88/3,824.52
  6. Step 6: Final answer
    x = 3,537.92

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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.