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Finding the Fourth Proportional to 3,866.83, 5,336.20 and 2,098.40

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Solution

The fourth proportional to 3,866.83, 5,336.20 and 2,098.40 is: 2,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.83 : 5,336.20 = 2,098.40 : x
  2. Step 2: Convert to fraction form
    3,866.83/5,336.20 = 2,098.40/x
  3. Step 3: Cross multiply
    3,866.83x = 5,336.20 × 2,098.40
  4. Step 4: Simplify right side
    3,866.83x = 11,197,482.08
  5. Step 5: Solve for x
    x = 11,197,482.08/3,866.83
  6. Step 6: Final answer
    x = 2,895.78

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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.