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Finding the Fourth Proportional to 3,248.39, 4,872.08 and 1,057.11

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Solution

The fourth proportional to 3,248.39, 4,872.08 and 1,057.11 is: 1,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.39 : 4,872.08 = 1,057.11 : x
  2. Step 2: Convert to fraction form
    3,248.39/4,872.08 = 1,057.11/x
  3. Step 3: Cross multiply
    3,248.39x = 4,872.08 × 1,057.11
  4. Step 4: Simplify right side
    3,248.39x = 5,150,308.86
  5. Step 5: Solve for x
    x = 5,150,308.86/3,248.39
  6. Step 6: Final answer
    x = 1,585.49

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Why These Related Problems?

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