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Finding the Fourth Proportional to 3,641.62, 5,462.43 and 1,560.28

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Solution

The fourth proportional to 3,641.62, 5,462.43 and 1,560.28 is: 2,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.62 : 5,462.43 = 1,560.28 : x
  2. Step 2: Convert to fraction form
    3,641.62/5,462.43 = 1,560.28/x
  3. Step 3: Cross multiply
    3,641.62x = 5,462.43 × 1,560.28
  4. Step 4: Simplify right side
    3,641.62x = 8,522,920.28
  5. Step 5: Solve for x
    x = 8,522,920.28/3,641.62
  6. Step 6: Final answer
    x = 2,340.42

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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.