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Finding the Fourth Proportional to 5,101.99, 7,041.02 and 2,863.75

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Solution

The fourth proportional to 5,101.99, 7,041.02 and 2,863.75 is: 3,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.99 : 7,041.02 = 2,863.75 : x
  2. Step 2: Convert to fraction form
    5,101.99/7,041.02 = 2,863.75/x
  3. Step 3: Cross multiply
    5,101.99x = 7,041.02 × 2,863.75
  4. Step 4: Simplify right side
    5,101.99x = 20,163,721.03
  5. Step 5: Solve for x
    x = 20,163,721.03/5,101.99
  6. Step 6: Final answer
    x = 3,952.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.