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Finding the Fourth Proportional to 3,253.77, 4,883.38 and 1,406.30

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Solution

The fourth proportional to 3,253.77, 4,883.38 and 1,406.30 is: 2,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.77 : 4,883.38 = 1,406.30 : x
  2. Step 2: Convert to fraction form
    3,253.77/4,883.38 = 1,406.30/x
  3. Step 3: Cross multiply
    3,253.77x = 4,883.38 × 1,406.30
  4. Step 4: Simplify right side
    3,253.77x = 6,867,469.36
  5. Step 5: Solve for x
    x = 6,867,469.36/3,253.77
  6. Step 6: Final answer
    x = 2,110.62

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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.