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Finding the Fourth Proportional to 4,138.66, 5,711.87 and 2,566.99

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Solution

The fourth proportional to 4,138.66, 5,711.87 and 2,566.99 is: 3,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.66 : 5,711.87 = 2,566.99 : x
  2. Step 2: Convert to fraction form
    4,138.66/5,711.87 = 2,566.99/x
  3. Step 3: Cross multiply
    4,138.66x = 5,711.87 × 2,566.99
  4. Step 4: Simplify right side
    4,138.66x = 14,662,271.78
  5. Step 5: Solve for x
    x = 14,662,271.78/4,138.66
  6. Step 6: Final answer
    x = 3,542.76

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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.