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Finding the Fourth Proportional to 5,767.90, 8,648.16 and 3,427.28

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Solution

The fourth proportional to 5,767.90, 8,648.16 and 3,427.28 is: 5,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.90 : 8,648.16 = 3,427.28 : x
  2. Step 2: Convert to fraction form
    5,767.90/8,648.16 = 3,427.28/x
  3. Step 3: Cross multiply
    5,767.90x = 8,648.16 × 3,427.28
  4. Step 4: Simplify right side
    5,767.90x = 29,639,642.14
  5. Step 5: Solve for x
    x = 29,639,642.14/5,767.90
  6. Step 6: Final answer
    x = 5,138.73

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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.