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Finding the Fourth Proportional to 4,052.42, 6,076.11 and 1,711.22

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Solution

The fourth proportional to 4,052.42, 6,076.11 and 1,711.22 is: 2,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.42 : 6,076.11 = 1,711.22 : x
  2. Step 2: Convert to fraction form
    4,052.42/6,076.11 = 1,711.22/x
  3. Step 3: Cross multiply
    4,052.42x = 6,076.11 × 1,711.22
  4. Step 4: Simplify right side
    4,052.42x = 10,397,560.95
  5. Step 5: Solve for x
    x = 10,397,560.95/4,052.42
  6. Step 6: Final answer
    x = 2,565.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.