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Finding the Fourth Proportional to 3,415.42, 5,124.11 and 1,224.30

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Solution

The fourth proportional to 3,415.42, 5,124.11 and 1,224.30 is: 1,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.42 : 5,124.11 = 1,224.30 : x
  2. Step 2: Convert to fraction form
    3,415.42/5,124.11 = 1,224.30/x
  3. Step 3: Cross multiply
    3,415.42x = 5,124.11 × 1,224.30
  4. Step 4: Simplify right side
    3,415.42x = 6,273,447.87
  5. Step 5: Solve for x
    x = 6,273,447.87/3,415.42
  6. Step 6: Final answer
    x = 1,836.80

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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.