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Finding the Fourth Proportional to 3,780.84, 5,680.18 and 2,224.84

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Solution

The fourth proportional to 3,780.84, 5,680.18 and 2,224.84 is: 3,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.84 : 5,680.18 = 2,224.84 : x
  2. Step 2: Convert to fraction form
    3,780.84/5,680.18 = 2,224.84/x
  3. Step 3: Cross multiply
    3,780.84x = 5,680.18 × 2,224.84
  4. Step 4: Simplify right side
    3,780.84x = 12,637,491.67
  5. Step 5: Solve for x
    x = 12,637,491.67/3,780.84
  6. Step 6: Final answer
    x = 3,342.51

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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.