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Finding the Fourth Proportional to 3,655.41, 5,043.07 and 2,082.66

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Solution

The fourth proportional to 3,655.41, 5,043.07 and 2,082.66 is: 2,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.41 : 5,043.07 = 2,082.66 : x
  2. Step 2: Convert to fraction form
    3,655.41/5,043.07 = 2,082.66/x
  3. Step 3: Cross multiply
    3,655.41x = 5,043.07 × 2,082.66
  4. Step 4: Simplify right side
    3,655.41x = 10,503,000.17
  5. Step 5: Solve for x
    x = 10,503,000.17/3,655.41
  6. Step 6: Final answer
    x = 2,873.28

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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.