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Finding the Fourth Proportional to 3,438.42, 5,152.20 and 2,614.20

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Solution

The fourth proportional to 3,438.42, 5,152.20 and 2,614.20 is: 3,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.42 : 5,152.20 = 2,614.20 : x
  2. Step 2: Convert to fraction form
    3,438.42/5,152.20 = 2,614.20/x
  3. Step 3: Cross multiply
    3,438.42x = 5,152.20 × 2,614.20
  4. Step 4: Simplify right side
    3,438.42x = 13,468,881.24
  5. Step 5: Solve for x
    x = 13,468,881.24/3,438.42
  6. Step 6: Final answer
    x = 3,917.17

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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.