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Finding the Fourth Proportional to 5,641.98, 8,463.26 and 1,482

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Solution

The fourth proportional to 5,641.98, 8,463.26 and 1,482 is: 2,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.98 : 8,463.26 = 1,482 : x
  2. Step 2: Convert to fraction form
    5,641.98/8,463.26 = 1,482/x
  3. Step 3: Cross multiply
    5,641.98x = 8,463.26 × 1,482
  4. Step 4: Simplify right side
    5,641.98x = 12,542,555.03
  5. Step 5: Solve for x
    x = 12,542,555.03/5,641.98
  6. Step 6: Final answer
    x = 2,223.08

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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.