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Finding the Fourth Proportional to 5,257.64, 7,255.64 and 2,899.73

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Solution

The fourth proportional to 5,257.64, 7,255.64 and 2,899.73 is: 4,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.64 : 7,255.64 = 2,899.73 : x
  2. Step 2: Convert to fraction form
    5,257.64/7,255.64 = 2,899.73/x
  3. Step 3: Cross multiply
    5,257.64x = 7,255.64 × 2,899.73
  4. Step 4: Simplify right side
    5,257.64x = 21,039,422.37
  5. Step 5: Solve for x
    x = 21,039,422.37/5,257.64
  6. Step 6: Final answer
    x = 4,001.68

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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.