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Finding the Fourth Proportional to 3,906.98, 5,851.14 and 2,258.53

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Solution

The fourth proportional to 3,906.98, 5,851.14 and 2,258.53 is: 3,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.98 : 5,851.14 = 2,258.53 : x
  2. Step 2: Convert to fraction form
    3,906.98/5,851.14 = 2,258.53/x
  3. Step 3: Cross multiply
    3,906.98x = 5,851.14 × 2,258.53
  4. Step 4: Simplify right side
    3,906.98x = 13,214,952.13
  5. Step 5: Solve for x
    x = 13,214,952.13/3,906.98
  6. Step 6: Final answer
    x = 3,382.40

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Why These Related Problems?

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