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Finding the Fourth Proportional to 5,100.36, 7,037.78 and 2,862.08

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Solution

The fourth proportional to 5,100.36, 7,037.78 and 2,862.08 is: 3,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.36 : 7,037.78 = 2,862.08 : x
  2. Step 2: Convert to fraction form
    5,100.36/7,037.78 = 2,862.08/x
  3. Step 3: Cross multiply
    5,100.36x = 7,037.78 × 2,862.08
  4. Step 4: Simplify right side
    5,100.36x = 20,142,689.38
  5. Step 5: Solve for x
    x = 20,142,689.38/5,100.36
  6. Step 6: Final answer
    x = 3,949.27

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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.