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Finding the Fourth Proportional to 5,080, 7,010.82 and 2,842.38

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Solution

The fourth proportional to 5,080, 7,010.82 and 2,842.38 is: 3,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,080 : 7,010.82 = 2,842.38 : x
  2. Step 2: Convert to fraction form
    5,080/7,010.82 = 2,842.38/x
  3. Step 3: Cross multiply
    5,080x = 7,010.82 × 2,842.38
  4. Step 4: Simplify right side
    5,080x = 19,927,414.55
  5. Step 5: Solve for x
    x = 19,927,414.55/5,080
  6. Step 6: Final answer
    x = 3,922.72

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1.5x scale

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.