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Finding the Fourth Proportional to 3,809.40, 5,712.28 and 2,228.57

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Solution

The fourth proportional to 3,809.40, 5,712.28 and 2,228.57 is: 3,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.40 : 5,712.28 = 2,228.57 : x
  2. Step 2: Convert to fraction form
    3,809.40/5,712.28 = 2,228.57/x
  3. Step 3: Cross multiply
    3,809.40x = 5,712.28 × 2,228.57
  4. Step 4: Simplify right side
    3,809.40x = 12,730,176.14
  5. Step 5: Solve for x
    x = 12,730,176.14/3,809.40
  6. Step 6: Final answer
    x = 3,341.78

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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.