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Finding the Fourth Proportional to 3,962.65, 5,471.13 and 3,541.65

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Solution

The fourth proportional to 3,962.65, 5,471.13 and 3,541.65 is: 4,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.65 : 5,471.13 = 3,541.65 : x
  2. Step 2: Convert to fraction form
    3,962.65/5,471.13 = 3,541.65/x
  3. Step 3: Cross multiply
    3,962.65x = 5,471.13 × 3,541.65
  4. Step 4: Simplify right side
    3,962.65x = 19,376,827.56
  5. Step 5: Solve for x
    x = 19,376,827.56/3,962.65
  6. Step 6: Final answer
    x = 4,889.87

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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.