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Finding the Fourth Proportional to 4,549.82, 6,824.66 and 1,471.82

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Solution

The fourth proportional to 4,549.82, 6,824.66 and 1,471.82 is: 2,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.82 : 6,824.66 = 1,471.82 : x
  2. Step 2: Convert to fraction form
    4,549.82/6,824.66 = 1,471.82/x
  3. Step 3: Cross multiply
    4,549.82x = 6,824.66 × 1,471.82
  4. Step 4: Simplify right side
    4,549.82x = 10,044,629.60
  5. Step 5: Solve for x
    x = 10,044,629.60/4,549.82
  6. Step 6: Final answer
    x = 2,207.70

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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.