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Finding the Fourth Proportional to 4,257.56, 5,873.08 and 3,138.68

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Solution

The fourth proportional to 4,257.56, 5,873.08 and 3,138.68 is: 4,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.56 : 5,873.08 = 3,138.68 : x
  2. Step 2: Convert to fraction form
    4,257.56/5,873.08 = 3,138.68/x
  3. Step 3: Cross multiply
    4,257.56x = 5,873.08 × 3,138.68
  4. Step 4: Simplify right side
    4,257.56x = 18,433,718.73
  5. Step 5: Solve for x
    x = 18,433,718.73/4,257.56
  6. Step 6: Final answer
    x = 4,329.64

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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.