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Finding the Fourth Proportional to 4,304.64, 6,462.72 and 2,552.88

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Solution

The fourth proportional to 4,304.64, 6,462.72 and 2,552.88 is: 3,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.64 : 6,462.72 = 2,552.88 : x
  2. Step 2: Convert to fraction form
    4,304.64/6,462.72 = 2,552.88/x
  3. Step 3: Cross multiply
    4,304.64x = 6,462.72 × 2,552.88
  4. Step 4: Simplify right side
    4,304.64x = 16,498,548.63
  5. Step 5: Solve for x
    x = 16,498,548.63/4,304.64
  6. Step 6: Final answer
    x = 3,832.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.