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Finding the Fourth Proportional to 3,899.54, 5,381.54 and 2,406.31

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Solution

The fourth proportional to 3,899.54, 5,381.54 and 2,406.31 is: 3,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.54 : 5,381.54 = 2,406.31 : x
  2. Step 2: Convert to fraction form
    3,899.54/5,381.54 = 2,406.31/x
  3. Step 3: Cross multiply
    3,899.54x = 5,381.54 × 2,406.31
  4. Step 4: Simplify right side
    3,899.54x = 12,949,637.06
  5. Step 5: Solve for x
    x = 12,949,637.06/3,899.54
  6. Step 6: Final answer
    x = 3,320.81

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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.