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Finding the Fourth Proportional to 3,438.42, 5,160.36 and 1,247.77

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Solution

The fourth proportional to 3,438.42, 5,160.36 and 1,247.77 is: 1,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.42 : 5,160.36 = 1,247.77 : x
  2. Step 2: Convert to fraction form
    3,438.42/5,160.36 = 1,247.77/x
  3. Step 3: Cross multiply
    3,438.42x = 5,160.36 × 1,247.77
  4. Step 4: Simplify right side
    3,438.42x = 6,438,942.40
  5. Step 5: Solve for x
    x = 6,438,942.40/3,438.42
  6. Step 6: Final answer
    x = 1,872.65

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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.