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Finding the Fourth Proportional to 4,823.82, 7,232.01 and 2,223.66

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Solution

The fourth proportional to 4,823.82, 7,232.01 and 2,223.66 is: 3,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.82 : 7,232.01 = 2,223.66 : x
  2. Step 2: Convert to fraction form
    4,823.82/7,232.01 = 2,223.66/x
  3. Step 3: Cross multiply
    4,823.82x = 7,232.01 × 2,223.66
  4. Step 4: Simplify right side
    4,823.82x = 16,081,531.36
  5. Step 5: Solve for x
    x = 16,081,531.36/4,823.82
  6. Step 6: Final answer
    x = 3,333.78

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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.