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Finding the Fourth Proportional to 5,314.70, 7,334.25 and 2,924.82

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Solution

The fourth proportional to 5,314.70, 7,334.25 and 2,924.82 is: 4,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.70 : 7,334.25 = 2,924.82 : x
  2. Step 2: Convert to fraction form
    5,314.70/7,334.25 = 2,924.82/x
  3. Step 3: Cross multiply
    5,314.70x = 7,334.25 × 2,924.82
  4. Step 4: Simplify right side
    5,314.70x = 21,451,361.09
  5. Step 5: Solve for x
    x = 21,451,361.09/5,314.70
  6. Step 6: Final answer
    x = 4,036.24

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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.