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Finding the Fourth Proportional to 3,407.92, 4,701.72 and 2,229.68

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Solution

The fourth proportional to 3,407.92, 4,701.72 and 2,229.68 is: 3,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.92 : 4,701.72 = 2,229.68 : x
  2. Step 2: Convert to fraction form
    3,407.92/4,701.72 = 2,229.68/x
  3. Step 3: Cross multiply
    3,407.92x = 4,701.72 × 2,229.68
  4. Step 4: Simplify right side
    3,407.92x = 10,483,331.05
  5. Step 5: Solve for x
    x = 10,483,331.05/3,407.92
  6. Step 6: Final answer
    x = 3,076.17

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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.