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Finding the Fourth Proportional to 3,641.88, 5,463.54 and 1,176.54

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Solution

The fourth proportional to 3,641.88, 5,463.54 and 1,176.54 is: 1,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.88 : 5,463.54 = 1,176.54 : x
  2. Step 2: Convert to fraction form
    3,641.88/5,463.54 = 1,176.54/x
  3. Step 3: Cross multiply
    3,641.88x = 5,463.54 × 1,176.54
  4. Step 4: Simplify right side
    3,641.88x = 6,428,073.35
  5. Step 5: Solve for x
    x = 6,428,073.35/3,641.88
  6. Step 6: Final answer
    x = 1,765.04

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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.