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Finding the Fourth Proportional to 4,149.84, 6,224.82 and 1,228.23

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Solution

The fourth proportional to 4,149.84, 6,224.82 and 1,228.23 is: 1,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.84 : 6,224.82 = 1,228.23 : x
  2. Step 2: Convert to fraction form
    4,149.84/6,224.82 = 1,228.23/x
  3. Step 3: Cross multiply
    4,149.84x = 6,224.82 × 1,228.23
  4. Step 4: Simplify right side
    4,149.84x = 7,645,510.67
  5. Step 5: Solve for x
    x = 7,645,510.67/4,149.84
  6. Step 6: Final answer
    x = 1,842.36

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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.