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Finding the Fourth Proportional to 5,691.50, 8,541.08 and 1,993.76

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Solution

The fourth proportional to 5,691.50, 8,541.08 and 1,993.76 is: 2,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.50 : 8,541.08 = 1,993.76 : x
  2. Step 2: Convert to fraction form
    5,691.50/8,541.08 = 1,993.76/x
  3. Step 3: Cross multiply
    5,691.50x = 8,541.08 × 1,993.76
  4. Step 4: Simplify right side
    5,691.50x = 17,028,810.99
  5. Step 5: Solve for x
    x = 17,028,810.99/5,691.50
  6. Step 6: Final answer
    x = 2,991.98

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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.