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Finding the Fourth Proportional to 5,853.16, 8,082.75 and 3,760.93

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Solution

The fourth proportional to 5,853.16, 8,082.75 and 3,760.93 is: 5,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.16 : 8,082.75 = 3,760.93 : x
  2. Step 2: Convert to fraction form
    5,853.16/8,082.75 = 3,760.93/x
  3. Step 3: Cross multiply
    5,853.16x = 8,082.75 × 3,760.93
  4. Step 4: Simplify right side
    5,853.16x = 30,398,656.96
  5. Step 5: Solve for x
    x = 30,398,656.96/5,853.16
  6. Step 6: Final answer
    x = 5,193.55

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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.