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Finding the Fourth Proportional to 3,364.69, 5,045.22 and 2,446.15

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Solution

The fourth proportional to 3,364.69, 5,045.22 and 2,446.15 is: 3,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.69 : 5,045.22 = 2,446.15 : x
  2. Step 2: Convert to fraction form
    3,364.69/5,045.22 = 2,446.15/x
  3. Step 3: Cross multiply
    3,364.69x = 5,045.22 × 2,446.15
  4. Step 4: Simplify right side
    3,364.69x = 12,341,364.90
  5. Step 5: Solve for x
    x = 12,341,364.90/3,364.69
  6. Step 6: Final answer
    x = 3,667.91

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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.