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Finding the Fourth Proportional to 3,800.15, 5,700.39 and 1,167.46

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Solution

The fourth proportional to 3,800.15, 5,700.39 and 1,167.46 is: 1,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.15 : 5,700.39 = 1,167.46 : x
  2. Step 2: Convert to fraction form
    3,800.15/5,700.39 = 1,167.46/x
  3. Step 3: Cross multiply
    3,800.15x = 5,700.39 × 1,167.46
  4. Step 4: Simplify right side
    3,800.15x = 6,654,977.31
  5. Step 5: Solve for x
    x = 6,654,977.31/3,800.15
  6. Step 6: Final answer
    x = 1,751.24

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1.5x scale

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.