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Finding the Fourth Proportional to 3,334, 4,993.56 and 2,357.14

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Solution

The fourth proportional to 3,334, 4,993.56 and 2,357.14 is: 3,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334 : 4,993.56 = 2,357.14 : x
  2. Step 2: Convert to fraction form
    3,334/4,993.56 = 2,357.14/x
  3. Step 3: Cross multiply
    3,334x = 4,993.56 × 2,357.14
  4. Step 4: Simplify right side
    3,334x = 11,770,520.02
  5. Step 5: Solve for x
    x = 11,770,520.02/3,334
  6. Step 6: Final answer
    x = 3,530.45

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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.