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Finding the Fourth Proportional to 4,914.34, 7,383.75 and 4,361.38

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Solution

The fourth proportional to 4,914.34, 7,383.75 and 4,361.38 is: 6,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.34 : 7,383.75 = 4,361.38 : x
  2. Step 2: Convert to fraction form
    4,914.34/7,383.75 = 4,361.38/x
  3. Step 3: Cross multiply
    4,914.34x = 7,383.75 × 4,361.38
  4. Step 4: Simplify right side
    4,914.34x = 32,203,339.58
  5. Step 5: Solve for x
    x = 32,203,339.58/4,914.34
  6. Step 6: Final answer
    x = 6,552.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.