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Finding the Fourth Proportional to 3,800.12, 5,701.28 and 1,952.55

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Solution

The fourth proportional to 3,800.12, 5,701.28 and 1,952.55 is: 2,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.12 : 5,701.28 = 1,952.55 : x
  2. Step 2: Convert to fraction form
    3,800.12/5,701.28 = 1,952.55/x
  3. Step 3: Cross multiply
    3,800.12x = 5,701.28 × 1,952.55
  4. Step 4: Simplify right side
    3,800.12x = 11,132,024.50
  5. Step 5: Solve for x
    x = 11,132,024.50/3,800.12
  6. Step 6: Final answer
    x = 2,929.39

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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.