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Finding the Fourth Proportional to 3,461.92, 5,195.22 and 1,272.40

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Solution

The fourth proportional to 3,461.92, 5,195.22 and 1,272.40 is: 1,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.92 : 5,195.22 = 1,272.40 : x
  2. Step 2: Convert to fraction form
    3,461.92/5,195.22 = 1,272.40/x
  3. Step 3: Cross multiply
    3,461.92x = 5,195.22 × 1,272.40
  4. Step 4: Simplify right side
    3,461.92x = 6,610,397.93
  5. Step 5: Solve for x
    x = 6,610,397.93/3,461.92
  6. Step 6: Final answer
    x = 1,909.46

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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.