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Finding the Fourth Proportional to 3,866.66, 5,335.97 and 2,098.25

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Solution

The fourth proportional to 3,866.66, 5,335.97 and 2,098.25 is: 2,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.66 : 5,335.97 = 2,098.25 : x
  2. Step 2: Convert to fraction form
    3,866.66/5,335.97 = 2,098.25/x
  3. Step 3: Cross multiply
    3,866.66x = 5,335.97 × 2,098.25
  4. Step 4: Simplify right side
    3,866.66x = 11,196,199.05
  5. Step 5: Solve for x
    x = 11,196,199.05/3,866.66
  6. Step 6: Final answer
    x = 2,895.57

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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.