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Finding the Fourth Proportional to 3,965.84, 5,957.88 and 2,798.53

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Solution

The fourth proportional to 3,965.84, 5,957.88 and 2,798.53 is: 4,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.84 : 5,957.88 = 2,798.53 : x
  2. Step 2: Convert to fraction form
    3,965.84/5,957.88 = 2,798.53/x
  3. Step 3: Cross multiply
    3,965.84x = 5,957.88 × 2,798.53
  4. Step 4: Simplify right side
    3,965.84x = 16,673,305.92
  5. Step 5: Solve for x
    x = 16,673,305.92/3,965.84
  6. Step 6: Final answer
    x = 4,204.23

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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.