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Finding the Fourth Proportional to 3,806.66, 5,253.53 and 2,314.22

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Solution

The fourth proportional to 3,806.66, 5,253.53 and 2,314.22 is: 3,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.66 : 5,253.53 = 2,314.22 : x
  2. Step 2: Convert to fraction form
    3,806.66/5,253.53 = 2,314.22/x
  3. Step 3: Cross multiply
    3,806.66x = 5,253.53 × 2,314.22
  4. Step 4: Simplify right side
    3,806.66x = 12,157,824.20
  5. Step 5: Solve for x
    x = 12,157,824.20/3,806.66
  6. Step 6: Final answer
    x = 3,193.83

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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.