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Finding the Fourth Proportional to 5,631.40, 8,447.10 and 2,121.40

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Solution

The fourth proportional to 5,631.40, 8,447.10 and 2,121.40 is: 3,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.40 : 8,447.10 = 2,121.40 : x
  2. Step 2: Convert to fraction form
    5,631.40/8,447.10 = 2,121.40/x
  3. Step 3: Cross multiply
    5,631.40x = 8,447.10 × 2,121.40
  4. Step 4: Simplify right side
    5,631.40x = 17,919,677.94
  5. Step 5: Solve for x
    x = 17,919,677.94/5,631.40
  6. Step 6: Final answer
    x = 3,182.10

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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.