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Finding the Fourth Proportional to 4,212.54, 6,318.82 and 1,616.10

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Solution

The fourth proportional to 4,212.54, 6,318.82 and 1,616.10 is: 2,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.54 : 6,318.82 = 1,616.10 : x
  2. Step 2: Convert to fraction form
    4,212.54/6,318.82 = 1,616.10/x
  3. Step 3: Cross multiply
    4,212.54x = 6,318.82 × 1,616.10
  4. Step 4: Simplify right side
    4,212.54x = 10,211,845.00
  5. Step 5: Solve for x
    x = 10,211,845.00/4,212.54
  6. Step 6: Final answer
    x = 2,424.15

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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.