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Finding the Fourth Proportional to 3,225.70, 4,838.55 and 3,205.23

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Solution

The fourth proportional to 3,225.70, 4,838.55 and 3,205.23 is: 4,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.70 : 4,838.55 = 3,205.23 : x
  2. Step 2: Convert to fraction form
    3,225.70/4,838.55 = 3,205.23/x
  3. Step 3: Cross multiply
    3,225.70x = 4,838.55 × 3,205.23
  4. Step 4: Simplify right side
    3,225.70x = 15,508,665.62
  5. Step 5: Solve for x
    x = 15,508,665.62/3,225.70
  6. Step 6: Final answer
    x = 4,807.85

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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.