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Finding the Fourth Proportional to 5,691.64, 8,538.24 and 1,993

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Solution

The fourth proportional to 5,691.64, 8,538.24 and 1,993 is: 2,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.64 : 8,538.24 = 1,993 : x
  2. Step 2: Convert to fraction form
    5,691.64/8,538.24 = 1,993/x
  3. Step 3: Cross multiply
    5,691.64x = 8,538.24 × 1,993
  4. Step 4: Simplify right side
    5,691.64x = 17,016,712.32
  5. Step 5: Solve for x
    x = 17,016,712.32/5,691.64
  6. Step 6: Final answer
    x = 2,989.77

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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.