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Finding the Fourth Proportional to 3,943.84, 5,915.76 and 2,213.68

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Solution

The fourth proportional to 3,943.84, 5,915.76 and 2,213.68 is: 3,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.84 : 5,915.76 = 2,213.68 : x
  2. Step 2: Convert to fraction form
    3,943.84/5,915.76 = 2,213.68/x
  3. Step 3: Cross multiply
    3,943.84x = 5,915.76 × 2,213.68
  4. Step 4: Simplify right side
    3,943.84x = 13,095,558.95
  5. Step 5: Solve for x
    x = 13,095,558.95/3,943.84
  6. Step 6: Final answer
    x = 3,320.51

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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.