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Finding the Fourth Proportional to 4,732.64, 6,531 and 2,743.84

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Solution

The fourth proportional to 4,732.64, 6,531 and 2,743.84 is: 3,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.64 : 6,531 = 2,743.84 : x
  2. Step 2: Convert to fraction form
    4,732.64/6,531 = 2,743.84/x
  3. Step 3: Cross multiply
    4,732.64x = 6,531 × 2,743.84
  4. Step 4: Simplify right side
    4,732.64x = 17,920,019.04
  5. Step 5: Solve for x
    x = 17,920,019.04/4,732.64
  6. Step 6: Final answer
    x = 3,786.47

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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.