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Finding the Fourth Proportional to 3,624.16, 5,002.52 and 2,132

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Solution

The fourth proportional to 3,624.16, 5,002.52 and 2,132 is: 2,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.16 : 5,002.52 = 2,132 : x
  2. Step 2: Convert to fraction form
    3,624.16/5,002.52 = 2,132/x
  3. Step 3: Cross multiply
    3,624.16x = 5,002.52 × 2,132
  4. Step 4: Simplify right side
    3,624.16x = 10,665,372.64
  5. Step 5: Solve for x
    x = 10,665,372.64/3,624.16
  6. Step 6: Final answer
    x = 2,942.85

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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.