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Finding the Fourth Proportional to 3,677.84, 5,513.99 and 1,211.16

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Solution

The fourth proportional to 3,677.84, 5,513.99 and 1,211.16 is: 1,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.84 : 5,513.99 = 1,211.16 : x
  2. Step 2: Convert to fraction form
    3,677.84/5,513.99 = 1,211.16/x
  3. Step 3: Cross multiply
    3,677.84x = 5,513.99 × 1,211.16
  4. Step 4: Simplify right side
    3,677.84x = 6,678,318.07
  5. Step 5: Solve for x
    x = 6,678,318.07/3,677.84
  6. Step 6: Final answer
    x = 1,815.83

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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.