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Finding the Fourth Proportional to 3,741.44, 5,585.78 and 2,859.28

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Solution

The fourth proportional to 3,741.44, 5,585.78 and 2,859.28 is: 4,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.44 : 5,585.78 = 2,859.28 : x
  2. Step 2: Convert to fraction form
    3,741.44/5,585.78 = 2,859.28/x
  3. Step 3: Cross multiply
    3,741.44x = 5,585.78 × 2,859.28
  4. Step 4: Simplify right side
    3,741.44x = 15,971,309.04
  5. Step 5: Solve for x
    x = 15,971,309.04/3,741.44
  6. Step 6: Final answer
    x = 4,268.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.