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Finding the Fourth Proportional to 3,866.38, 5,346.07 and 3,803.83

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Solution

The fourth proportional to 3,866.38, 5,346.07 and 3,803.83 is: 5,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.38 : 5,346.07 = 3,803.83 : x
  2. Step 2: Convert to fraction form
    3,866.38/5,346.07 = 3,803.83/x
  3. Step 3: Cross multiply
    3,866.38x = 5,346.07 × 3,803.83
  4. Step 4: Simplify right side
    3,866.38x = 20,335,518.57
  5. Step 5: Solve for x
    x = 20,335,518.57/3,866.38
  6. Step 6: Final answer
    x = 5,259.58

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1.5x scale

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.