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Finding the Fourth Proportional to 5,257.44, 7,255.14 and 2,899.56

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Solution

The fourth proportional to 5,257.44, 7,255.14 and 2,899.56 is: 4,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.44 : 7,255.14 = 2,899.56 : x
  2. Step 2: Convert to fraction form
    5,257.44/7,255.14 = 2,899.56/x
  3. Step 3: Cross multiply
    5,257.44x = 7,255.14 × 2,899.56
  4. Step 4: Simplify right side
    5,257.44x = 21,036,713.74
  5. Step 5: Solve for x
    x = 21,036,713.74/5,257.44
  6. Step 6: Final answer
    x = 4,001.32

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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.