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Finding the Fourth Proportional to 5,696.82, 8,545.68 and 1,801.17

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Solution

The fourth proportional to 5,696.82, 8,545.68 and 1,801.17 is: 2,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.82 : 8,545.68 = 1,801.17 : x
  2. Step 2: Convert to fraction form
    5,696.82/8,545.68 = 1,801.17/x
  3. Step 3: Cross multiply
    5,696.82x = 8,545.68 × 1,801.17
  4. Step 4: Simplify right side
    5,696.82x = 15,392,222.45
  5. Step 5: Solve for x
    x = 15,392,222.45/5,696.82
  6. Step 6: Final answer
    x = 2,701.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.