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Finding the Fourth Proportional to 5,361.24, 7,404.30 and 5,166.84

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Solution

The fourth proportional to 5,361.24, 7,404.30 and 5,166.84 is: 7,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.24 : 7,404.30 = 5,166.84 : x
  2. Step 2: Convert to fraction form
    5,361.24/7,404.30 = 5,166.84/x
  3. Step 3: Cross multiply
    5,361.24x = 7,404.30 × 5,166.84
  4. Step 4: Simplify right side
    5,361.24x = 38,256,833.41
  5. Step 5: Solve for x
    x = 38,256,833.41/5,361.24
  6. Step 6: Final answer
    x = 7,135.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.