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Finding the Fourth Proportional to 3,278.35, 4,920 and 2,235.88

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Solution

The fourth proportional to 3,278.35, 4,920 and 2,235.88 is: 3,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.35 : 4,920 = 2,235.88 : x
  2. Step 2: Convert to fraction form
    3,278.35/4,920 = 2,235.88/x
  3. Step 3: Cross multiply
    3,278.35x = 4,920 × 2,235.88
  4. Step 4: Simplify right side
    3,278.35x = 11,000,529.60
  5. Step 5: Solve for x
    x = 11,000,529.60/3,278.35
  6. Step 6: Final answer
    x = 3,355.51

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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.