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Finding the Fourth Proportional to 3,706.22, 5,565.69 and 3,290.69

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Solution

The fourth proportional to 3,706.22, 5,565.69 and 3,290.69 is: 4,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.22 : 5,565.69 = 3,290.69 : x
  2. Step 2: Convert to fraction form
    3,706.22/5,565.69 = 3,290.69/x
  3. Step 3: Cross multiply
    3,706.22x = 5,565.69 × 3,290.69
  4. Step 4: Simplify right side
    3,706.22x = 18,314,960.43
  5. Step 5: Solve for x
    x = 18,314,960.43/3,706.22
  6. Step 6: Final answer
    x = 4,941.68

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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.