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Finding the Fourth Proportional to 5,869.88, 8,100.12 and 3,217.40

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Solution

The fourth proportional to 5,869.88, 8,100.12 and 3,217.40 is: 4,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.88 : 8,100.12 = 3,217.40 : x
  2. Step 2: Convert to fraction form
    5,869.88/8,100.12 = 3,217.40/x
  3. Step 3: Cross multiply
    5,869.88x = 8,100.12 × 3,217.40
  4. Step 4: Simplify right side
    5,869.88x = 26,061,326.09
  5. Step 5: Solve for x
    x = 26,061,326.09/5,869.88
  6. Step 6: Final answer
    x = 4,439.84

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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.