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Finding the Fourth Proportional to 3,225.23, 4,838.66 and 916.73

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Solution

The fourth proportional to 3,225.23, 4,838.66 and 916.73 is: 1,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.23 : 4,838.66 = 916.73 : x
  2. Step 2: Convert to fraction form
    3,225.23/4,838.66 = 916.73/x
  3. Step 3: Cross multiply
    3,225.23x = 4,838.66 × 916.73
  4. Step 4: Simplify right side
    3,225.23x = 4,435,769.96
  5. Step 5: Solve for x
    x = 4,435,769.96/3,225.23
  6. Step 6: Final answer
    x = 1,375.33

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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.