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Finding the Fourth Proportional to 3,496.52, 4,828.11 and 2,322.83

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Solution

The fourth proportional to 3,496.52, 4,828.11 and 2,322.83 is: 3,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.52 : 4,828.11 = 2,322.83 : x
  2. Step 2: Convert to fraction form
    3,496.52/4,828.11 = 2,322.83/x
  3. Step 3: Cross multiply
    3,496.52x = 4,828.11 × 2,322.83
  4. Step 4: Simplify right side
    3,496.52x = 11,214,854.61
  5. Step 5: Solve for x
    x = 11,214,854.61/3,496.52
  6. Step 6: Final answer
    x = 3,207.44

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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.