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Finding the Fourth Proportional to 3,713.11, 5,569.84 and 2,068.42

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Solution

The fourth proportional to 3,713.11, 5,569.84 and 2,068.42 is: 3,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.11 : 5,569.84 = 2,068.42 : x
  2. Step 2: Convert to fraction form
    3,713.11/5,569.84 = 2,068.42/x
  3. Step 3: Cross multiply
    3,713.11x = 5,569.84 × 2,068.42
  4. Step 4: Simplify right side
    3,713.11x = 11,520,768.45
  5. Step 5: Solve for x
    x = 11,520,768.45/3,713.11
  6. Step 6: Final answer
    x = 3,102.73

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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.