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Finding the Fourth Proportional to 5,877.16, 8,109.88 and 3,519.24

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Solution

The fourth proportional to 5,877.16, 8,109.88 and 3,519.24 is: 4,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.16 : 8,109.88 = 3,519.24 : x
  2. Step 2: Convert to fraction form
    5,877.16/8,109.88 = 3,519.24/x
  3. Step 3: Cross multiply
    5,877.16x = 8,109.88 × 3,519.24
  4. Step 4: Simplify right side
    5,877.16x = 28,540,614.09
  5. Step 5: Solve for x
    x = 28,540,614.09/5,877.16
  6. Step 6: Final answer
    x = 4,856.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.