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Finding the Fourth Proportional to 3,806.65, 5,701.88 and 2,162.35

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Solution

The fourth proportional to 3,806.65, 5,701.88 and 2,162.35 is: 3,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.65 : 5,701.88 = 2,162.35 : x
  2. Step 2: Convert to fraction form
    3,806.65/5,701.88 = 2,162.35/x
  3. Step 3: Cross multiply
    3,806.65x = 5,701.88 × 2,162.35
  4. Step 4: Simplify right side
    3,806.65x = 12,329,456.53
  5. Step 5: Solve for x
    x = 12,329,456.53/3,806.65
  6. Step 6: Final answer
    x = 3,238.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.