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Finding the Fourth Proportional to 5,257.44, 7,888.02 and 2,335.48

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Solution

The fourth proportional to 5,257.44, 7,888.02 and 2,335.48 is: 3,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.44 : 7,888.02 = 2,335.48 : x
  2. Step 2: Convert to fraction form
    5,257.44/7,888.02 = 2,335.48/x
  3. Step 3: Cross multiply
    5,257.44x = 7,888.02 × 2,335.48
  4. Step 4: Simplify right side
    5,257.44x = 18,422,312.95
  5. Step 5: Solve for x
    x = 18,422,312.95/5,257.44
  6. Step 6: Final answer
    x = 3,504.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.