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Finding the Fourth Proportional to 3,641.85, 5,463.32 and 1,176.21

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Solution

The fourth proportional to 3,641.85, 5,463.32 and 1,176.21 is: 1,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.85 : 5,463.32 = 1,176.21 : x
  2. Step 2: Convert to fraction form
    3,641.85/5,463.32 = 1,176.21/x
  3. Step 3: Cross multiply
    3,641.85x = 5,463.32 × 1,176.21
  4. Step 4: Simplify right side
    3,641.85x = 6,426,005.74
  5. Step 5: Solve for x
    x = 6,426,005.74/3,641.85
  6. Step 6: Final answer
    x = 1,764.49

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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.