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Finding the Fourth Proportional to 5,257.06, 7,258.12 and 3,270.32

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Solution

The fourth proportional to 5,257.06, 7,258.12 and 3,270.32 is: 4,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.06 : 7,258.12 = 3,270.32 : x
  2. Step 2: Convert to fraction form
    5,257.06/7,258.12 = 3,270.32/x
  3. Step 3: Cross multiply
    5,257.06x = 7,258.12 × 3,270.32
  4. Step 4: Simplify right side
    5,257.06x = 23,736,375.00
  5. Step 5: Solve for x
    x = 23,736,375.00/5,257.06
  6. Step 6: Final answer
    x = 4,515.14

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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.