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Finding the Fourth Proportional to 3,346.00, 5,014.38 and 2,414.13

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Solution

The fourth proportional to 3,346.00, 5,014.38 and 2,414.13 is: 3,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.00 : 5,014.38 = 2,414.13 : x
  2. Step 2: Convert to fraction form
    3,346.00/5,014.38 = 2,414.13/x
  3. Step 3: Cross multiply
    3,346.00x = 5,014.38 × 2,414.13
  4. Step 4: Simplify right side
    3,346.00x = 12,105,362.75
  5. Step 5: Solve for x
    x = 12,105,362.75/3,346.00
  6. Step 6: Final answer
    x = 3,617.87

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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.