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Finding the Fourth Proportional to 3,224.54, 4,838.43 and 2,404.46

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Solution

The fourth proportional to 3,224.54, 4,838.43 and 2,404.46 is: 3,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.54 : 4,838.43 = 2,404.46 : x
  2. Step 2: Convert to fraction form
    3,224.54/4,838.43 = 2,404.46/x
  3. Step 3: Cross multiply
    3,224.54x = 4,838.43 × 2,404.46
  4. Step 4: Simplify right side
    3,224.54x = 11,633,811.40
  5. Step 5: Solve for x
    x = 11,633,811.40/3,224.54
  6. Step 6: Final answer
    x = 3,607.90

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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.