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Finding the Fourth Proportional to 3,866.78, 5,336.12 and 2,098.34

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Solution

The fourth proportional to 3,866.78, 5,336.12 and 2,098.34 is: 2,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.78 : 5,336.12 = 2,098.34 : x
  2. Step 2: Convert to fraction form
    3,866.78/5,336.12 = 2,098.34/x
  3. Step 3: Cross multiply
    3,866.78x = 5,336.12 × 2,098.34
  4. Step 4: Simplify right side
    3,866.78x = 11,196,956.87
  5. Step 5: Solve for x
    x = 11,196,956.87/3,866.78
  6. Step 6: Final answer
    x = 2,895.68

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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.