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Finding the Fourth Proportional to 3,686.16, 5,083.00 and 2,740.43

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Solution

The fourth proportional to 3,686.16, 5,083.00 and 2,740.43 is: 3,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.16 : 5,083.00 = 2,740.43 : x
  2. Step 2: Convert to fraction form
    3,686.16/5,083.00 = 2,740.43/x
  3. Step 3: Cross multiply
    3,686.16x = 5,083.00 × 2,740.43
  4. Step 4: Simplify right side
    3,686.16x = 13,929,626.96
  5. Step 5: Solve for x
    x = 13,929,626.96/3,686.16
  6. Step 6: Final answer
    x = 3,778.90

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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.