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Finding the Fourth Proportional to 5,769.88, 7,962.44 and 3,117.29

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Solution

The fourth proportional to 5,769.88, 7,962.44 and 3,117.29 is: 4,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.88 : 7,962.44 = 3,117.29 : x
  2. Step 2: Convert to fraction form
    5,769.88/7,962.44 = 3,117.29/x
  3. Step 3: Cross multiply
    5,769.88x = 7,962.44 × 3,117.29
  4. Step 4: Simplify right side
    5,769.88x = 24,821,179.19
  5. Step 5: Solve for x
    x = 24,821,179.19/5,769.88
  6. Step 6: Final answer
    x = 4,301.85

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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.