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Finding the Fourth Proportional to 3,706.49, 5,560.65 and 1,109.43

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Solution

The fourth proportional to 3,706.49, 5,560.65 and 1,109.43 is: 1,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.49 : 5,560.65 = 1,109.43 : x
  2. Step 2: Convert to fraction form
    3,706.49/5,560.65 = 1,109.43/x
  3. Step 3: Cross multiply
    3,706.49x = 5,560.65 × 1,109.43
  4. Step 4: Simplify right side
    3,706.49x = 6,169,151.93
  5. Step 5: Solve for x
    x = 6,169,151.93/3,706.49
  6. Step 6: Final answer
    x = 1,664.42

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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.