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Finding the Fourth Proportional to 3,214.80, 4,822.17 and 2,569.62

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Solution

The fourth proportional to 3,214.80, 4,822.17 and 2,569.62 is: 3,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.80 : 4,822.17 = 2,569.62 : x
  2. Step 2: Convert to fraction form
    3,214.80/4,822.17 = 2,569.62/x
  3. Step 3: Cross multiply
    3,214.80x = 4,822.17 × 2,569.62
  4. Step 4: Simplify right side
    3,214.80x = 12,391,144.48
  5. Step 5: Solve for x
    x = 12,391,144.48/3,214.80
  6. Step 6: Final answer
    x = 3,854.41

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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.