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Finding the Fourth Proportional to 3,809.97, 5,712.65 and 2,492.14

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Solution

The fourth proportional to 3,809.97, 5,712.65 and 2,492.14 is: 3,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.97 : 5,712.65 = 2,492.14 : x
  2. Step 2: Convert to fraction form
    3,809.97/5,712.65 = 2,492.14/x
  3. Step 3: Cross multiply
    3,809.97x = 5,712.65 × 2,492.14
  4. Step 4: Simplify right side
    3,809.97x = 14,236,723.57
  5. Step 5: Solve for x
    x = 14,236,723.57/3,809.97
  6. Step 6: Final answer
    x = 3,736.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.