Home / 5,670-7,824.96-3,280.38

Finding the Fourth Proportional to 5,670, 7,824.96 and 3,280.38

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Solution

The fourth proportional to 5,670, 7,824.96 and 3,280.38 is: 4,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670 : 7,824.96 = 3,280.38 : x
  2. Step 2: Convert to fraction form
    5,670/7,824.96 = 3,280.38/x
  3. Step 3: Cross multiply
    5,670x = 7,824.96 × 3,280.38
  4. Step 4: Simplify right side
    5,670x = 25,668,842.28
  5. Step 5: Solve for x
    x = 25,668,842.28/5,670
  6. Step 6: Final answer
    x = 4,527.13

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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.