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Finding the Fourth Proportional to 3,641.46, 5,462.46 and 1,044.42

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Solution

The fourth proportional to 3,641.46, 5,462.46 and 1,044.42 is: 1,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.46 : 5,462.46 = 1,044.42 : x
  2. Step 2: Convert to fraction form
    3,641.46/5,462.46 = 1,044.42/x
  3. Step 3: Cross multiply
    3,641.46x = 5,462.46 × 1,044.42
  4. Step 4: Simplify right side
    3,641.46x = 5,705,102.47
  5. Step 5: Solve for x
    x = 5,705,102.47/3,641.46
  6. Step 6: Final answer
    x = 1,566.71

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1.5x scale

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.