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Finding the Fourth Proportional to 3,950.96, 5,925.17 and 2,196.80

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Solution

The fourth proportional to 3,950.96, 5,925.17 and 2,196.80 is: 3,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.96 : 5,925.17 = 2,196.80 : x
  2. Step 2: Convert to fraction form
    3,950.96/5,925.17 = 2,196.80/x
  3. Step 3: Cross multiply
    3,950.96x = 5,925.17 × 2,196.80
  4. Step 4: Simplify right side
    3,950.96x = 13,016,433.76
  5. Step 5: Solve for x
    x = 13,016,433.76/3,950.96
  6. Step 6: Final answer
    x = 3,294.50

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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.