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Finding the Fourth Proportional to 4,472.55, 6,167.61 and 3,211.38

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Solution

The fourth proportional to 4,472.55, 6,167.61 and 3,211.38 is: 4,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.55 : 6,167.61 = 3,211.38 : x
  2. Step 2: Convert to fraction form
    4,472.55/6,167.61 = 3,211.38/x
  3. Step 3: Cross multiply
    4,472.55x = 6,167.61 × 3,211.38
  4. Step 4: Simplify right side
    4,472.55x = 19,806,539.40
  5. Step 5: Solve for x
    x = 19,806,539.40/4,472.55
  6. Step 6: Final answer
    x = 4,428.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.