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Finding the Fourth Proportional to 4,129.59, 6,197.46 and 2,571.87

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Solution

The fourth proportional to 4,129.59, 6,197.46 and 2,571.87 is: 3,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.59 : 6,197.46 = 2,571.87 : x
  2. Step 2: Convert to fraction form
    4,129.59/6,197.46 = 2,571.87/x
  3. Step 3: Cross multiply
    4,129.59x = 6,197.46 × 2,571.87
  4. Step 4: Simplify right side
    4,129.59x = 15,939,061.45
  5. Step 5: Solve for x
    x = 15,939,061.45/4,129.59
  6. Step 6: Final answer
    x = 3,859.72

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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.