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Finding the Fourth Proportional to 3,772.44, 5,650.02 and 3,709.08

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Solution

The fourth proportional to 3,772.44, 5,650.02 and 3,709.08 is: 5,555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.44 : 5,650.02 = 3,709.08 : x
  2. Step 2: Convert to fraction form
    3,772.44/5,650.02 = 3,709.08/x
  3. Step 3: Cross multiply
    3,772.44x = 5,650.02 × 3,709.08
  4. Step 4: Simplify right side
    3,772.44x = 20,956,376.18
  5. Step 5: Solve for x
    x = 20,956,376.18/3,772.44
  6. Step 6: Final answer
    x = 5,555.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.