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Finding the Fourth Proportional to 5,649.96, 7,787.22 and 3,758.17

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Solution

The fourth proportional to 5,649.96, 7,787.22 and 3,758.17 is: 5,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.96 : 7,787.22 = 3,758.17 : x
  2. Step 2: Convert to fraction form
    5,649.96/7,787.22 = 3,758.17/x
  3. Step 3: Cross multiply
    5,649.96x = 7,787.22 × 3,758.17
  4. Step 4: Simplify right side
    5,649.96x = 29,265,672.08
  5. Step 5: Solve for x
    x = 29,265,672.08/5,649.96
  6. Step 6: Final answer
    x = 5,179.80

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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.