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Finding the Fourth Proportional to 4,367.66, 6,549.30 and 2,177.60

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Solution

The fourth proportional to 4,367.66, 6,549.30 and 2,177.60 is: 3,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.66 : 6,549.30 = 2,177.60 : x
  2. Step 2: Convert to fraction form
    4,367.66/6,549.30 = 2,177.60/x
  3. Step 3: Cross multiply
    4,367.66x = 6,549.30 × 2,177.60
  4. Step 4: Simplify right side
    4,367.66x = 14,261,755.68
  5. Step 5: Solve for x
    x = 14,261,755.68/4,367.66
  6. Step 6: Final answer
    x = 3,265.31

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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.