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Finding the Fourth Proportional to 3,706.19, 5,561.47 and 1,367.83

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Solution

The fourth proportional to 3,706.19, 5,561.47 and 1,367.83 is: 2,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.19 : 5,561.47 = 1,367.83 : x
  2. Step 2: Convert to fraction form
    3,706.19/5,561.47 = 1,367.83/x
  3. Step 3: Cross multiply
    3,706.19x = 5,561.47 × 1,367.83
  4. Step 4: Simplify right side
    3,706.19x = 7,607,154.17
  5. Step 5: Solve for x
    x = 7,607,154.17/3,706.19
  6. Step 6: Final answer
    x = 2,052.55

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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.