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Finding the Fourth Proportional to 5,741.70, 7,921.42 and 3,616.66

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Solution

The fourth proportional to 5,741.70, 7,921.42 and 3,616.66 is: 4,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.70 : 7,921.42 = 3,616.66 : x
  2. Step 2: Convert to fraction form
    5,741.70/7,921.42 = 3,616.66/x
  3. Step 3: Cross multiply
    5,741.70x = 7,921.42 × 3,616.66
  4. Step 4: Simplify right side
    5,741.70x = 28,649,082.86
  5. Step 5: Solve for x
    x = 28,649,082.86/5,741.70
  6. Step 6: Final answer
    x = 4,989.65

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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.