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Finding the Fourth Proportional to 5,258.88, 7,257.60 and 2,901

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Solution

The fourth proportional to 5,258.88, 7,257.60 and 2,901 is: 4,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.88 : 7,257.60 = 2,901 : x
  2. Step 2: Convert to fraction form
    5,258.88/7,257.60 = 2,901/x
  3. Step 3: Cross multiply
    5,258.88x = 7,257.60 × 2,901
  4. Step 4: Simplify right side
    5,258.88x = 21,054,297.60
  5. Step 5: Solve for x
    x = 21,054,297.60/5,258.88
  6. Step 6: Final answer
    x = 4,003.57

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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.