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Finding the Fourth Proportional to 5,739.31, 8,591.01 and 5,254.66

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Solution

The fourth proportional to 5,739.31, 8,591.01 and 5,254.66 is: 7,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.31 : 8,591.01 = 5,254.66 : x
  2. Step 2: Convert to fraction form
    5,739.31/8,591.01 = 5,254.66/x
  3. Step 3: Cross multiply
    5,739.31x = 8,591.01 × 5,254.66
  4. Step 4: Simplify right side
    5,739.31x = 45,142,836.61
  5. Step 5: Solve for x
    x = 45,142,836.61/5,739.31
  6. Step 6: Final answer
    x = 7,865.55

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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.