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Finding the Fourth Proportional to 3,407.05, 4,703.43 and 2,229.92

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Solution

The fourth proportional to 3,407.05, 4,703.43 and 2,229.92 is: 3,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.05 : 4,703.43 = 2,229.92 : x
  2. Step 2: Convert to fraction form
    3,407.05/4,703.43 = 2,229.92/x
  3. Step 3: Cross multiply
    3,407.05x = 4,703.43 × 2,229.92
  4. Step 4: Simplify right side
    3,407.05x = 10,488,272.63
  5. Step 5: Solve for x
    x = 10,488,272.63/3,407.05
  6. Step 6: Final answer
    x = 3,078.40

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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.