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Finding the Fourth Proportional to 3,257.52, 4,485.72 and 3,184.88

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Solution

The fourth proportional to 3,257.52, 4,485.72 and 3,184.88 is: 4,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.52 : 4,485.72 = 3,184.88 : x
  2. Step 2: Convert to fraction form
    3,257.52/4,485.72 = 3,184.88/x
  3. Step 3: Cross multiply
    3,257.52x = 4,485.72 × 3,184.88
  4. Step 4: Simplify right side
    3,257.52x = 14,286,479.91
  5. Step 5: Solve for x
    x = 14,286,479.91/3,257.52
  6. Step 6: Final answer
    x = 4,385.69

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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.