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Finding the Fourth Proportional to 5,351.68, 8,027.52 and 1,456.66

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Solution

The fourth proportional to 5,351.68, 8,027.52 and 1,456.66 is: 2,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.68 : 8,027.52 = 1,456.66 : x
  2. Step 2: Convert to fraction form
    5,351.68/8,027.52 = 1,456.66/x
  3. Step 3: Cross multiply
    5,351.68x = 8,027.52 × 1,456.66
  4. Step 4: Simplify right side
    5,351.68x = 11,693,367.28
  5. Step 5: Solve for x
    x = 11,693,367.28/5,351.68
  6. Step 6: Final answer
    x = 2,184.99

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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.