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Finding the Fourth Proportional to 3,566.34, 5,349.78 and 1,226.52

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Solution

The fourth proportional to 3,566.34, 5,349.78 and 1,226.52 is: 1,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.34 : 5,349.78 = 1,226.52 : x
  2. Step 2: Convert to fraction form
    3,566.34/5,349.78 = 1,226.52/x
  3. Step 3: Cross multiply
    3,566.34x = 5,349.78 × 1,226.52
  4. Step 4: Simplify right side
    3,566.34x = 6,561,612.17
  5. Step 5: Solve for x
    x = 6,561,612.17/3,566.34
  6. Step 6: Final answer
    x = 1,839.87

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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.