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Finding the Fourth Proportional to 3,858.46, 5,794.75 and 3,533.14

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Solution

The fourth proportional to 3,858.46, 5,794.75 and 3,533.14 is: 5,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.46 : 5,794.75 = 3,533.14 : x
  2. Step 2: Convert to fraction form
    3,858.46/5,794.75 = 3,533.14/x
  3. Step 3: Cross multiply
    3,858.46x = 5,794.75 × 3,533.14
  4. Step 4: Simplify right side
    3,858.46x = 20,473,645.35
  5. Step 5: Solve for x
    x = 20,473,645.35/3,858.46
  6. Step 6: Final answer
    x = 5,306.18

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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.