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Finding the Fourth Proportional to 3,415.34, 5,124.23 and 1,224.29

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Solution

The fourth proportional to 3,415.34, 5,124.23 and 1,224.29 is: 1,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.34 : 5,124.23 = 1,224.29 : x
  2. Step 2: Convert to fraction form
    3,415.34/5,124.23 = 1,224.29/x
  3. Step 3: Cross multiply
    3,415.34x = 5,124.23 × 1,224.29
  4. Step 4: Simplify right side
    3,415.34x = 6,273,543.55
  5. Step 5: Solve for x
    x = 6,273,543.55/3,415.34
  6. Step 6: Final answer
    x = 1,836.87

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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.