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Finding the Fourth Proportional to 4,531.62, 6,822.51 and 3,549.69

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Solution

The fourth proportional to 4,531.62, 6,822.51 and 3,549.69 is: 5,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.62 : 6,822.51 = 3,549.69 : x
  2. Step 2: Convert to fraction form
    4,531.62/6,822.51 = 3,549.69/x
  3. Step 3: Cross multiply
    4,531.62x = 6,822.51 × 3,549.69
  4. Step 4: Simplify right side
    4,531.62x = 24,217,795.52
  5. Step 5: Solve for x
    x = 24,217,795.52/4,531.62
  6. Step 6: Final answer
    x = 5,344.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.