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Finding the Fourth Proportional to 3,184.84, 4,772.22 and 2,456.20

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Solution

The fourth proportional to 3,184.84, 4,772.22 and 2,456.20 is: 3,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.84 : 4,772.22 = 2,456.20 : x
  2. Step 2: Convert to fraction form
    3,184.84/4,772.22 = 2,456.20/x
  3. Step 3: Cross multiply
    3,184.84x = 4,772.22 × 2,456.20
  4. Step 4: Simplify right side
    3,184.84x = 11,721,526.76
  5. Step 5: Solve for x
    x = 11,721,526.76/3,184.84
  6. Step 6: Final answer
    x = 3,680.41

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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.