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Finding the Fourth Proportional to 4,153.36, 6,229.08 and 1,230.96

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Solution

The fourth proportional to 4,153.36, 6,229.08 and 1,230.96 is: 1,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.36 : 6,229.08 = 1,230.96 : x
  2. Step 2: Convert to fraction form
    4,153.36/6,229.08 = 1,230.96/x
  3. Step 3: Cross multiply
    4,153.36x = 6,229.08 × 1,230.96
  4. Step 4: Simplify right side
    4,153.36x = 7,667,748.32
  5. Step 5: Solve for x
    x = 7,667,748.32/4,153.36
  6. Step 6: Final answer
    x = 1,846.16

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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.