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Finding the Fourth Proportional to 5,641.16, 8,462.31 and 1,942.90

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Solution

The fourth proportional to 5,641.16, 8,462.31 and 1,942.90 is: 2,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.16 : 8,462.31 = 1,942.90 : x
  2. Step 2: Convert to fraction form
    5,641.16/8,462.31 = 1,942.90/x
  3. Step 3: Cross multiply
    5,641.16x = 8,462.31 × 1,942.90
  4. Step 4: Simplify right side
    5,641.16x = 16,441,422.10
  5. Step 5: Solve for x
    x = 16,441,422.10/5,641.16
  6. Step 6: Final answer
    x = 2,914.55

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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.