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Finding the Fourth Proportional to 3,364.32, 4,638.60 and 2,764.70

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Solution

The fourth proportional to 3,364.32, 4,638.60 and 2,764.70 is: 3,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.32 : 4,638.60 = 2,764.70 : x
  2. Step 2: Convert to fraction form
    3,364.32/4,638.60 = 2,764.70/x
  3. Step 3: Cross multiply
    3,364.32x = 4,638.60 × 2,764.70
  4. Step 4: Simplify right side
    3,364.32x = 12,824,337.42
  5. Step 5: Solve for x
    x = 12,824,337.42/3,364.32
  6. Step 6: Final answer
    x = 3,811.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.