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Finding the Fourth Proportional to 5,859.11, 8,077.16 and 4,177.60

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Solution

The fourth proportional to 5,859.11, 8,077.16 and 4,177.60 is: 5,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.11 : 8,077.16 = 4,177.60 : x
  2. Step 2: Convert to fraction form
    5,859.11/8,077.16 = 4,177.60/x
  3. Step 3: Cross multiply
    5,859.11x = 8,077.16 × 4,177.60
  4. Step 4: Simplify right side
    5,859.11x = 33,743,174.25
  5. Step 5: Solve for x
    x = 33,743,174.25/5,859.11
  6. Step 6: Final answer
    x = 5,759.10

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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.