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Finding the Fourth Proportional to 5,091.80, 7,017.17 and 3,970.96

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Solution

The fourth proportional to 5,091.80, 7,017.17 and 3,970.96 is: 5,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.80 : 7,017.17 = 3,970.96 : x
  2. Step 2: Convert to fraction form
    5,091.80/7,017.17 = 3,970.96/x
  3. Step 3: Cross multiply
    5,091.80x = 7,017.17 × 3,970.96
  4. Step 4: Simplify right side
    5,091.80x = 27,864,901.38
  5. Step 5: Solve for x
    x = 27,864,901.38/5,091.80
  6. Step 6: Final answer
    x = 5,472.51

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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.