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Finding the Fourth Proportional to 3,418.67, 5,115.82 and 2,364.69

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Solution

The fourth proportional to 3,418.67, 5,115.82 and 2,364.69 is: 3,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.67 : 5,115.82 = 2,364.69 : x
  2. Step 2: Convert to fraction form
    3,418.67/5,115.82 = 2,364.69/x
  3. Step 3: Cross multiply
    3,418.67x = 5,115.82 × 2,364.69
  4. Step 4: Simplify right side
    3,418.67x = 12,097,328.40
  5. Step 5: Solve for x
    x = 12,097,328.40/3,418.67
  6. Step 6: Final answer
    x = 3,538.61

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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.