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Finding the Fourth Proportional to 3,225.35, 4,838.02 and 916.85

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Solution

The fourth proportional to 3,225.35, 4,838.02 and 916.85 is: 1,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.35 : 4,838.02 = 916.85 : x
  2. Step 2: Convert to fraction form
    3,225.35/4,838.02 = 916.85/x
  3. Step 3: Cross multiply
    3,225.35x = 4,838.02 × 916.85
  4. Step 4: Simplify right side
    3,225.35x = 4,435,738.64
  5. Step 5: Solve for x
    x = 4,435,738.64/3,225.35
  6. Step 6: Final answer
    x = 1,375.27

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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.