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Finding the Fourth Proportional to 4,177.88, 5,766.60 and 2,605.04

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Solution

The fourth proportional to 4,177.88, 5,766.60 and 2,605.04 is: 3,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.88 : 5,766.60 = 2,605.04 : x
  2. Step 2: Convert to fraction form
    4,177.88/5,766.60 = 2,605.04/x
  3. Step 3: Cross multiply
    4,177.88x = 5,766.60 × 2,605.04
  4. Step 4: Simplify right side
    4,177.88x = 15,022,223.66
  5. Step 5: Solve for x
    x = 15,022,223.66/4,177.88
  6. Step 6: Final answer
    x = 3,595.66

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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.