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Finding the Fourth Proportional to 4,215.02, 6,318.86 and 1,616.14

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Solution

The fourth proportional to 4,215.02, 6,318.86 and 1,616.14 is: 2,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.02 : 6,318.86 = 1,616.14 : x
  2. Step 2: Convert to fraction form
    4,215.02/6,318.86 = 1,616.14/x
  3. Step 3: Cross multiply
    4,215.02x = 6,318.86 × 1,616.14
  4. Step 4: Simplify right side
    4,215.02x = 10,212,162.40
  5. Step 5: Solve for x
    x = 10,212,162.40/4,215.02
  6. Step 6: Final answer
    x = 2,422.80

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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.