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Finding the Fourth Proportional to 4,635.84, 6,961.20 and 2,043.84

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Solution

The fourth proportional to 4,635.84, 6,961.20 and 2,043.84 is: 3,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.84 : 6,961.20 = 2,043.84 : x
  2. Step 2: Convert to fraction form
    4,635.84/6,961.20 = 2,043.84/x
  3. Step 3: Cross multiply
    4,635.84x = 6,961.20 × 2,043.84
  4. Step 4: Simplify right side
    4,635.84x = 14,227,579.01
  5. Step 5: Solve for x
    x = 14,227,579.01/4,635.84
  6. Step 6: Final answer
    x = 3,069.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.