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Finding the Fourth Proportional to 4,138.80, 5,703.48 and 2,956.56

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Solution

The fourth proportional to 4,138.80, 5,703.48 and 2,956.56 is: 4,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.80 : 5,703.48 = 2,956.56 : x
  2. Step 2: Convert to fraction form
    4,138.80/5,703.48 = 2,956.56/x
  3. Step 3: Cross multiply
    4,138.80x = 5,703.48 × 2,956.56
  4. Step 4: Simplify right side
    4,138.80x = 16,862,680.83
  5. Step 5: Solve for x
    x = 16,862,680.83/4,138.80
  6. Step 6: Final answer
    x = 4,074.29

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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.