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Finding the Fourth Proportional to 5,648.98, 8,468.43 and 2,874.10

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Solution

The fourth proportional to 5,648.98, 8,468.43 and 2,874.10 is: 4,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.98 : 8,468.43 = 2,874.10 : x
  2. Step 2: Convert to fraction form
    5,648.98/8,468.43 = 2,874.10/x
  3. Step 3: Cross multiply
    5,648.98x = 8,468.43 × 2,874.10
  4. Step 4: Simplify right side
    5,648.98x = 24,339,114.66
  5. Step 5: Solve for x
    x = 24,339,114.66/5,648.98
  6. Step 6: Final answer
    x = 4,308.59

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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.