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Finding the Fourth Proportional to 5,252.92, 7,879.82 and 1,357.40

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Solution

The fourth proportional to 5,252.92, 7,879.82 and 1,357.40 is: 2,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.92 : 7,879.82 = 1,357.40 : x
  2. Step 2: Convert to fraction form
    5,252.92/7,879.82 = 1,357.40/x
  3. Step 3: Cross multiply
    5,252.92x = 7,879.82 × 1,357.40
  4. Step 4: Simplify right side
    5,252.92x = 10,696,067.67
  5. Step 5: Solve for x
    x = 10,696,067.67/5,252.92
  6. Step 6: Final answer
    x = 2,036.21

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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.