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Finding the Fourth Proportional to 3,566.82, 5,348.86 and 1,226.39

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Solution

The fourth proportional to 3,566.82, 5,348.86 and 1,226.39 is: 1,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.82 : 5,348.86 = 1,226.39 : x
  2. Step 2: Convert to fraction form
    3,566.82/5,348.86 = 1,226.39/x
  3. Step 3: Cross multiply
    3,566.82x = 5,348.86 × 1,226.39
  4. Step 4: Simplify right side
    3,566.82x = 6,559,758.61
  5. Step 5: Solve for x
    x = 6,559,758.61/3,566.82
  6. Step 6: Final answer
    x = 1,839.10

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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.