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Finding the Fourth Proportional to 3,886.80, 5,363.82 and 2,315.04

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Solution

The fourth proportional to 3,886.80, 5,363.82 and 2,315.04 is: 3,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.80 : 5,363.82 = 2,315.04 : x
  2. Step 2: Convert to fraction form
    3,886.80/5,363.82 = 2,315.04/x
  3. Step 3: Cross multiply
    3,886.80x = 5,363.82 × 2,315.04
  4. Step 4: Simplify right side
    3,886.80x = 12,417,457.85
  5. Step 5: Solve for x
    x = 12,417,457.85/3,886.80
  6. Step 6: Final answer
    x = 3,194.78

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