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Finding the Fourth Proportional to 5,691.76, 8,535.66 and 1,993.90

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Solution

The fourth proportional to 5,691.76, 8,535.66 and 1,993.90 is: 2,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.76 : 8,535.66 = 1,993.90 : x
  2. Step 2: Convert to fraction form
    5,691.76/8,535.66 = 1,993.90/x
  3. Step 3: Cross multiply
    5,691.76x = 8,535.66 × 1,993.90
  4. Step 4: Simplify right side
    5,691.76x = 17,019,252.47
  5. Step 5: Solve for x
    x = 17,019,252.47/5,691.76
  6. Step 6: Final answer
    x = 2,990.16

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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.