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Finding the Fourth Proportional to 3,734.85, 5,154.21 and 2,223.21

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Solution

The fourth proportional to 3,734.85, 5,154.21 and 2,223.21 is: 3,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.85 : 5,154.21 = 2,223.21 : x
  2. Step 2: Convert to fraction form
    3,734.85/5,154.21 = 2,223.21/x
  3. Step 3: Cross multiply
    3,734.85x = 5,154.21 × 2,223.21
  4. Step 4: Simplify right side
    3,734.85x = 11,458,891.21
  5. Step 5: Solve for x
    x = 11,458,891.21/3,734.85
  6. Step 6: Final answer
    x = 3,068.10

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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.