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Finding the Fourth Proportional to 3,248.72, 4,873.85 and 1,400.11

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Solution

The fourth proportional to 3,248.72, 4,873.85 and 1,400.11 is: 2,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.72 : 4,873.85 = 1,400.11 : x
  2. Step 2: Convert to fraction form
    3,248.72/4,873.85 = 1,400.11/x
  3. Step 3: Cross multiply
    3,248.72x = 4,873.85 × 1,400.11
  4. Step 4: Simplify right side
    3,248.72x = 6,823,910.97
  5. Step 5: Solve for x
    x = 6,823,910.97/3,248.72
  6. Step 6: Final answer
    x = 2,100.49

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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.