Home / 5,780-7,975.92-3,262.70

Finding the Fourth Proportional to 5,780, 7,975.92 and 3,262.70

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Solution

The fourth proportional to 5,780, 7,975.92 and 3,262.70 is: 4,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 7,975.92 = 3,262.70 : x
  2. Step 2: Convert to fraction form
    5,780/7,975.92 = 3,262.70/x
  3. Step 3: Cross multiply
    5,780x = 7,975.92 × 3,262.70
  4. Step 4: Simplify right side
    5,780x = 26,023,034.18
  5. Step 5: Solve for x
    x = 26,023,034.18/5,780
  6. Step 6: Final answer
    x = 4,502.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.