Home / 5,229.77-7,842.57-2,306

Finding the Fourth Proportional to 5,229.77, 7,842.57 and 2,306

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Solution

The fourth proportional to 5,229.77, 7,842.57 and 2,306 is: 3,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.77 : 7,842.57 = 2,306 : x
  2. Step 2: Convert to fraction form
    5,229.77/7,842.57 = 2,306/x
  3. Step 3: Cross multiply
    5,229.77x = 7,842.57 × 2,306
  4. Step 4: Simplify right side
    5,229.77x = 18,084,966.42
  5. Step 5: Solve for x
    x = 18,084,966.42/5,229.77
  6. Step 6: Final answer
    x = 3,458.08

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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.