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Finding the Fourth Proportional to 3,948.08, 5,921.24 and 1,755.64

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Solution

The fourth proportional to 3,948.08, 5,921.24 and 1,755.64 is: 2,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.08 : 5,921.24 = 1,755.64 : x
  2. Step 2: Convert to fraction form
    3,948.08/5,921.24 = 1,755.64/x
  3. Step 3: Cross multiply
    3,948.08x = 5,921.24 × 1,755.64
  4. Step 4: Simplify right side
    3,948.08x = 10,395,565.79
  5. Step 5: Solve for x
    x = 10,395,565.79/3,948.08
  6. Step 6: Final answer
    x = 2,633.07

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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.