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Finding the Fourth Proportional to 5,195.64, 7,789.14 and 4,046.52

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Solution

The fourth proportional to 5,195.64, 7,789.14 and 4,046.52 is: 6,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.64 : 7,789.14 = 4,046.52 : x
  2. Step 2: Convert to fraction form
    5,195.64/7,789.14 = 4,046.52/x
  3. Step 3: Cross multiply
    5,195.64x = 7,789.14 × 4,046.52
  4. Step 4: Simplify right side
    5,195.64x = 31,518,910.79
  5. Step 5: Solve for x
    x = 31,518,910.79/5,195.64
  6. Step 6: Final answer
    x = 6,066.42

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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.