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Finding the Fourth Proportional to 3,497.76, 4,827.04 and 2,171.52

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Solution

The fourth proportional to 3,497.76, 4,827.04 and 2,171.52 is: 2,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.76 : 4,827.04 = 2,171.52 : x
  2. Step 2: Convert to fraction form
    3,497.76/4,827.04 = 2,171.52/x
  3. Step 3: Cross multiply
    3,497.76x = 4,827.04 × 2,171.52
  4. Step 4: Simplify right side
    3,497.76x = 10,482,013.90
  5. Step 5: Solve for x
    x = 10,482,013.90/3,497.76
  6. Step 6: Final answer
    x = 2,996.78

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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.