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Finding the Fourth Proportional to 5,257.98, 7,255.15 and 3,271.28

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Solution

The fourth proportional to 5,257.98, 7,255.15 and 3,271.28 is: 4,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.98 : 7,255.15 = 3,271.28 : x
  2. Step 2: Convert to fraction form
    5,257.98/7,255.15 = 3,271.28/x
  3. Step 3: Cross multiply
    5,257.98x = 7,255.15 × 3,271.28
  4. Step 4: Simplify right side
    5,257.98x = 23,733,582.64
  5. Step 5: Solve for x
    x = 23,733,582.64/5,257.98
  6. Step 6: Final answer
    x = 4,513.82

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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.