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Finding the Fourth Proportional to 3,685.65, 5,082.30 and 2,846.49

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Solution

The fourth proportional to 3,685.65, 5,082.30 and 2,846.49 is: 3,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.65 : 5,082.30 = 2,846.49 : x
  2. Step 2: Convert to fraction form
    3,685.65/5,082.30 = 2,846.49/x
  3. Step 3: Cross multiply
    3,685.65x = 5,082.30 × 2,846.49
  4. Step 4: Simplify right side
    3,685.65x = 14,466,716.13
  5. Step 5: Solve for x
    x = 14,466,716.13/3,685.65
  6. Step 6: Final answer
    x = 3,925.15

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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.