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Finding the Fourth Proportional to 3,248.82, 4,873.74 and 1,057.03

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Solution

The fourth proportional to 3,248.82, 4,873.74 and 1,057.03 is: 1,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.82 : 4,873.74 = 1,057.03 : x
  2. Step 2: Convert to fraction form
    3,248.82/4,873.74 = 1,057.03/x
  3. Step 3: Cross multiply
    3,248.82x = 4,873.74 × 1,057.03
  4. Step 4: Simplify right side
    3,248.82x = 5,151,684.11
  5. Step 5: Solve for x
    x = 5,151,684.11/3,248.82
  6. Step 6: Final answer
    x = 1,585.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.