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Finding the Fourth Proportional to 5,743.74, 8,557.85 and 5,366.49

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Solution

The fourth proportional to 5,743.74, 8,557.85 and 5,366.49 is: 7,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.74 : 8,557.85 = 5,366.49 : x
  2. Step 2: Convert to fraction form
    5,743.74/8,557.85 = 5,366.49/x
  3. Step 3: Cross multiply
    5,743.74x = 8,557.85 × 5,366.49
  4. Step 4: Simplify right side
    5,743.74x = 45,925,589.61
  5. Step 5: Solve for x
    x = 45,925,589.61/5,743.74
  6. Step 6: Final answer
    x = 7,995.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.