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Finding the Fourth Proportional to 3,498.42, 5,248.44 and 1,189.92

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Solution

The fourth proportional to 3,498.42, 5,248.44 and 1,189.92 is: 1,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.42 : 5,248.44 = 1,189.92 : x
  2. Step 2: Convert to fraction form
    3,498.42/5,248.44 = 1,189.92/x
  3. Step 3: Cross multiply
    3,498.42x = 5,248.44 × 1,189.92
  4. Step 4: Simplify right side
    3,498.42x = 6,245,223.72
  5. Step 5: Solve for x
    x = 6,245,223.72/3,498.42
  6. Step 6: Final answer
    x = 1,785.16

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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.