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Finding the Fourth Proportional to 5,422.73, 7,486.59 and 3,434.99

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Solution

The fourth proportional to 5,422.73, 7,486.59 and 3,434.99 is: 4,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.73 : 7,486.59 = 3,434.99 : x
  2. Step 2: Convert to fraction form
    5,422.73/7,486.59 = 3,434.99/x
  3. Step 3: Cross multiply
    5,422.73x = 7,486.59 × 3,434.99
  4. Step 4: Simplify right side
    5,422.73x = 25,716,361.78
  5. Step 5: Solve for x
    x = 25,716,361.78/5,422.73
  6. Step 6: Final answer
    x = 4,742.33

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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.