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Finding the Fourth Proportional to 5,887, 8,823.42 and 4,489.48

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Solution

The fourth proportional to 5,887, 8,823.42 and 4,489.48 is: 6,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887 : 8,823.42 = 4,489.48 : x
  2. Step 2: Convert to fraction form
    5,887/8,823.42 = 4,489.48/x
  3. Step 3: Cross multiply
    5,887x = 8,823.42 × 4,489.48
  4. Step 4: Simplify right side
    5,887x = 39,612,567.62
  5. Step 5: Solve for x
    x = 39,612,567.62/5,887
  6. Step 6: Final answer
    x = 6,728.82

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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.