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Finding the Fourth Proportional to 3,874.51, 5,346.84 and 2,302.57

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Solution

The fourth proportional to 3,874.51, 5,346.84 and 2,302.57 is: 3,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.51 : 5,346.84 = 2,302.57 : x
  2. Step 2: Convert to fraction form
    3,874.51/5,346.84 = 2,302.57/x
  3. Step 3: Cross multiply
    3,874.51x = 5,346.84 × 2,302.57
  4. Step 4: Simplify right side
    3,874.51x = 12,311,473.38
  5. Step 5: Solve for x
    x = 12,311,473.38/3,874.51
  6. Step 6: Final answer
    x = 3,177.56

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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.