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Finding the Fourth Proportional to 4,819.32, 7,217.40 and 4,122

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Solution

The fourth proportional to 4,819.32, 7,217.40 and 4,122 is: 6,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.32 : 7,217.40 = 4,122 : x
  2. Step 2: Convert to fraction form
    4,819.32/7,217.40 = 4,122/x
  3. Step 3: Cross multiply
    4,819.32x = 7,217.40 × 4,122
  4. Step 4: Simplify right side
    4,819.32x = 29,750,122.80
  5. Step 5: Solve for x
    x = 29,750,122.80/4,819.32
  6. Step 6: Final answer
    x = 6,173.10

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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.