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Finding the Fourth Proportional to 5,877.64, 8,817.10 and 2,180.36

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Solution

The fourth proportional to 5,877.64, 8,817.10 and 2,180.36 is: 3,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.64 : 8,817.10 = 2,180.36 : x
  2. Step 2: Convert to fraction form
    5,877.64/8,817.10 = 2,180.36/x
  3. Step 3: Cross multiply
    5,877.64x = 8,817.10 × 2,180.36
  4. Step 4: Simplify right side
    5,877.64x = 19,224,452.16
  5. Step 5: Solve for x
    x = 19,224,452.16/5,877.64
  6. Step 6: Final answer
    x = 3,270.78

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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.