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Finding the Fourth Proportional to 3,835.84, 5,296.84 and 2,422.08

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Solution

The fourth proportional to 3,835.84, 5,296.84 and 2,422.08 is: 3,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.84 : 5,296.84 = 2,422.08 : x
  2. Step 2: Convert to fraction form
    3,835.84/5,296.84 = 2,422.08/x
  3. Step 3: Cross multiply
    3,835.84x = 5,296.84 × 2,422.08
  4. Step 4: Simplify right side
    3,835.84x = 12,829,370.23
  5. Step 5: Solve for x
    x = 12,829,370.23/3,835.84
  6. Step 6: Final answer
    x = 3,344.61

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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.