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Finding the Fourth Proportional to 3,874.39, 5,346.81 and 2,196

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Solution

The fourth proportional to 3,874.39, 5,346.81 and 2,196 is: 3,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.39 : 5,346.81 = 2,196 : x
  2. Step 2: Convert to fraction form
    3,874.39/5,346.81 = 2,196/x
  3. Step 3: Cross multiply
    3,874.39x = 5,346.81 × 2,196
  4. Step 4: Simplify right side
    3,874.39x = 11,741,594.76
  5. Step 5: Solve for x
    x = 11,741,594.76/3,874.39
  6. Step 6: Final answer
    x = 3,030.57

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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.