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Finding the Fourth Proportional to 3,900.88, 5,853.14 and 2,258.81

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Solution

The fourth proportional to 3,900.88, 5,853.14 and 2,258.81 is: 3,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.88 : 5,853.14 = 2,258.81 : x
  2. Step 2: Convert to fraction form
    3,900.88/5,853.14 = 2,258.81/x
  3. Step 3: Cross multiply
    3,900.88x = 5,853.14 × 2,258.81
  4. Step 4: Simplify right side
    3,900.88x = 13,221,131.16
  5. Step 5: Solve for x
    x = 13,221,131.16/3,900.88
  6. Step 6: Final answer
    x = 3,389.27

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