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Finding the Fourth Proportional to 3,513.85, 5,274.84 and 2,054.05

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Solution

The fourth proportional to 3,513.85, 5,274.84 and 2,054.05 is: 3,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.85 : 5,274.84 = 2,054.05 : x
  2. Step 2: Convert to fraction form
    3,513.85/5,274.84 = 2,054.05/x
  3. Step 3: Cross multiply
    3,513.85x = 5,274.84 × 2,054.05
  4. Step 4: Simplify right side
    3,513.85x = 10,834,785.10
  5. Step 5: Solve for x
    x = 10,834,785.10/3,513.85
  6. Step 6: Final answer
    x = 3,083.45

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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.