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Finding the Fourth Proportional to 3,920.99, 5,878.39 and 2,684.65

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Solution

The fourth proportional to 3,920.99, 5,878.39 and 2,684.65 is: 4,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.99 : 5,878.39 = 2,684.65 : x
  2. Step 2: Convert to fraction form
    3,920.99/5,878.39 = 2,684.65/x
  3. Step 3: Cross multiply
    3,920.99x = 5,878.39 × 2,684.65
  4. Step 4: Simplify right side
    3,920.99x = 15,781,419.71
  5. Step 5: Solve for x
    x = 15,781,419.71/3,920.99
  6. Step 6: Final answer
    x = 4,024.86

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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.