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Finding the Fourth Proportional to 5,693.16, 8,538.78 and 1,797

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Solution

The fourth proportional to 5,693.16, 8,538.78 and 1,797 is: 2,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.16 : 8,538.78 = 1,797 : x
  2. Step 2: Convert to fraction form
    5,693.16/8,538.78 = 1,797/x
  3. Step 3: Cross multiply
    5,693.16x = 8,538.78 × 1,797
  4. Step 4: Simplify right side
    5,693.16x = 15,344,187.66
  5. Step 5: Solve for x
    x = 15,344,187.66/5,693.16
  6. Step 6: Final answer
    x = 2,695.20

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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.