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Finding the Fourth Proportional to 3,447.46, 4,758.21 and 2,122.50

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Solution

The fourth proportional to 3,447.46, 4,758.21 and 2,122.50 is: 2,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.46 : 4,758.21 = 2,122.50 : x
  2. Step 2: Convert to fraction form
    3,447.46/4,758.21 = 2,122.50/x
  3. Step 3: Cross multiply
    3,447.46x = 4,758.21 × 2,122.50
  4. Step 4: Simplify right side
    3,447.46x = 10,099,318.57
  5. Step 5: Solve for x
    x = 10,099,318.57/3,447.46
  6. Step 6: Final answer
    x = 2,929.49

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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.