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Finding the Fourth Proportional to 3,965.10, 5,471.05 and 2,393.16

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Solution

The fourth proportional to 3,965.10, 5,471.05 and 2,393.16 is: 3,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.10 : 5,471.05 = 2,393.16 : x
  2. Step 2: Convert to fraction form
    3,965.10/5,471.05 = 2,393.16/x
  3. Step 3: Cross multiply
    3,965.10x = 5,471.05 × 2,393.16
  4. Step 4: Simplify right side
    3,965.10x = 13,093,098.02
  5. Step 5: Solve for x
    x = 13,093,098.02/3,965.10
  6. Step 6: Final answer
    x = 3,302.09

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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.