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Finding the Fourth Proportional to 4,138.50, 5,711.40 and 2,567.64

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Solution

The fourth proportional to 4,138.50, 5,711.40 and 2,567.64 is: 3,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.50 : 5,711.40 = 2,567.64 : x
  2. Step 2: Convert to fraction form
    4,138.50/5,711.40 = 2,567.64/x
  3. Step 3: Cross multiply
    4,138.50x = 5,711.40 × 2,567.64
  4. Step 4: Simplify right side
    4,138.50x = 14,664,819.10
  5. Step 5: Solve for x
    x = 14,664,819.10/4,138.50
  6. Step 6: Final answer
    x = 3,543.51

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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.