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Finding the Fourth Proportional to 5,830.44, 8,747.28 and 2,543.82

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Solution

The fourth proportional to 5,830.44, 8,747.28 and 2,543.82 is: 3,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.44 : 8,747.28 = 2,543.82 : x
  2. Step 2: Convert to fraction form
    5,830.44/8,747.28 = 2,543.82/x
  3. Step 3: Cross multiply
    5,830.44x = 8,747.28 × 2,543.82
  4. Step 4: Simplify right side
    5,830.44x = 22,251,505.81
  5. Step 5: Solve for x
    x = 22,251,505.81/5,830.44
  6. Step 6: Final answer
    x = 3,816.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.