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Finding the Fourth Proportional to 5,257.68, 7,255.62 and 3,161.84

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Solution

The fourth proportional to 5,257.68, 7,255.62 and 3,161.84 is: 4,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.68 : 7,255.62 = 3,161.84 : x
  2. Step 2: Convert to fraction form
    5,257.68/7,255.62 = 3,161.84/x
  3. Step 3: Cross multiply
    5,257.68x = 7,255.62 × 3,161.84
  4. Step 4: Simplify right side
    5,257.68x = 22,941,109.54
  5. Step 5: Solve for x
    x = 22,941,109.54/5,257.68
  6. Step 6: Final answer
    x = 4,363.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.