Home / 5,162.97-7,744.32-1,465.20

Finding the Fourth Proportional to 5,162.97, 7,744.32 and 1,465.20

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Solution

The fourth proportional to 5,162.97, 7,744.32 and 1,465.20 is: 2,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.97 : 7,744.32 = 1,465.20 : x
  2. Step 2: Convert to fraction form
    5,162.97/7,744.32 = 1,465.20/x
  3. Step 3: Cross multiply
    5,162.97x = 7,744.32 × 1,465.20
  4. Step 4: Simplify right side
    5,162.97x = 11,347,012.20
  5. Step 5: Solve for x
    x = 11,347,012.20/5,162.97
  6. Step 6: Final answer
    x = 2,197.77

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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.