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Finding the Fourth Proportional to 5,453.18, 8,177.34 and 1,988

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Solution

The fourth proportional to 5,453.18, 8,177.34 and 1,988 is: 2,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.18 : 8,177.34 = 1,988 : x
  2. Step 2: Convert to fraction form
    5,453.18/8,177.34 = 1,988/x
  3. Step 3: Cross multiply
    5,453.18x = 8,177.34 × 1,988
  4. Step 4: Simplify right side
    5,453.18x = 16,256,551.92
  5. Step 5: Solve for x
    x = 16,256,551.92/5,453.18
  6. Step 6: Final answer
    x = 2,981.11

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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.