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Finding the Fourth Proportional to 3,691.84, 5,536.40 and 1,226.20

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Solution

The fourth proportional to 3,691.84, 5,536.40 and 1,226.20 is: 1,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.84 : 5,536.40 = 1,226.20 : x
  2. Step 2: Convert to fraction form
    3,691.84/5,536.40 = 1,226.20/x
  3. Step 3: Cross multiply
    3,691.84x = 5,536.40 × 1,226.20
  4. Step 4: Simplify right side
    3,691.84x = 6,788,706.00
  5. Step 5: Solve for x
    x = 6,788,706.00/3,691.84
  6. Step 6: Final answer
    x = 1,838.84

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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.