Home / 5,192-7,788.82-1,730.06

Finding the Fourth Proportional to 5,192, 7,788.82 and 1,730.06

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Solution

The fourth proportional to 5,192, 7,788.82 and 1,730.06 is: 2,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 7,788.82 = 1,730.06 : x
  2. Step 2: Convert to fraction form
    5,192/7,788.82 = 1,730.06/x
  3. Step 3: Cross multiply
    5,192x = 7,788.82 × 1,730.06
  4. Step 4: Simplify right side
    5,192x = 13,475,125.93
  5. Step 5: Solve for x
    x = 13,475,125.93/5,192
  6. Step 6: Final answer
    x = 2,595.36

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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.