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Finding the Fourth Proportional to 3,866.12, 5,335.21 and 2,097.72

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Solution

The fourth proportional to 3,866.12, 5,335.21 and 2,097.72 is: 2,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.12 : 5,335.21 = 2,097.72 : x
  2. Step 2: Convert to fraction form
    3,866.12/5,335.21 = 2,097.72/x
  3. Step 3: Cross multiply
    3,866.12x = 5,335.21 × 2,097.72
  4. Step 4: Simplify right side
    3,866.12x = 11,191,776.72
  5. Step 5: Solve for x
    x = 11,191,776.72/3,866.12
  6. Step 6: Final answer
    x = 2,894.83

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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.