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Finding the Fourth Proportional to 4,099.87, 6,147.95 and 1,177.49

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Solution

The fourth proportional to 4,099.87, 6,147.95 and 1,177.49 is: 1,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.87 : 6,147.95 = 1,177.49 : x
  2. Step 2: Convert to fraction form
    4,099.87/6,147.95 = 1,177.49/x
  3. Step 3: Cross multiply
    4,099.87x = 6,147.95 × 1,177.49
  4. Step 4: Simplify right side
    4,099.87x = 7,239,131.17
  5. Step 5: Solve for x
    x = 7,239,131.17/4,099.87
  6. Step 6: Final answer
    x = 1,765.70

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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.