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Finding the Fourth Proportional to 3,364.76, 5,052.80 and 2,196.76

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Solution

The fourth proportional to 3,364.76, 5,052.80 and 2,196.76 is: 3,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.76 : 5,052.80 = 2,196.76 : x
  2. Step 2: Convert to fraction form
    3,364.76/5,052.80 = 2,196.76/x
  3. Step 3: Cross multiply
    3,364.76x = 5,052.80 × 2,196.76
  4. Step 4: Simplify right side
    3,364.76x = 11,099,788.93
  5. Step 5: Solve for x
    x = 11,099,788.93/3,364.76
  6. Step 6: Final answer
    x = 3,298.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.