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Finding the Fourth Proportional to 3,797.66, 5,241.24 and 2,225.76

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Solution

The fourth proportional to 3,797.66, 5,241.24 and 2,225.76 is: 3,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.66 : 5,241.24 = 2,225.76 : x
  2. Step 2: Convert to fraction form
    3,797.66/5,241.24 = 2,225.76/x
  3. Step 3: Cross multiply
    3,797.66x = 5,241.24 × 2,225.76
  4. Step 4: Simplify right side
    3,797.66x = 11,665,742.34
  5. Step 5: Solve for x
    x = 11,665,742.34/3,797.66
  6. Step 6: Final answer
    x = 3,071.82

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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.