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Finding the Fourth Proportional to 3,870.39, 5,805.72 and 2,226.18

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Solution

The fourth proportional to 3,870.39, 5,805.72 and 2,226.18 is: 3,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.39 : 5,805.72 = 2,226.18 : x
  2. Step 2: Convert to fraction form
    3,870.39/5,805.72 = 2,226.18/x
  3. Step 3: Cross multiply
    3,870.39x = 5,805.72 × 2,226.18
  4. Step 4: Simplify right side
    3,870.39x = 12,924,577.75
  5. Step 5: Solve for x
    x = 12,924,577.75/3,870.39
  6. Step 6: Final answer
    x = 3,339.35

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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.