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Finding the Fourth Proportional to 3,626.92, 5,447.58 and 3,106.72

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Solution

The fourth proportional to 3,626.92, 5,447.58 and 3,106.72 is: 4,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.92 : 5,447.58 = 3,106.72 : x
  2. Step 2: Convert to fraction form
    3,626.92/5,447.58 = 3,106.72/x
  3. Step 3: Cross multiply
    3,626.92x = 5,447.58 × 3,106.72
  4. Step 4: Simplify right side
    3,626.92x = 16,924,105.74
  5. Step 5: Solve for x
    x = 16,924,105.74/3,626.92
  6. Step 6: Final answer
    x = 4,666.25

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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.