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Finding the Fourth Proportional to 3,689.28, 5,091.15 and 2,117.70

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Solution

The fourth proportional to 3,689.28, 5,091.15 and 2,117.70 is: 2,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.28 : 5,091.15 = 2,117.70 : x
  2. Step 2: Convert to fraction form
    3,689.28/5,091.15 = 2,117.70/x
  3. Step 3: Cross multiply
    3,689.28x = 5,091.15 × 2,117.70
  4. Step 4: Simplify right side
    3,689.28x = 10,781,528.36
  5. Step 5: Solve for x
    x = 10,781,528.36/3,689.28
  6. Step 6: Final answer
    x = 2,922.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.