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Finding the Fourth Proportional to 4,215, 6,318.84 and 2,264.92

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Solution

The fourth proportional to 4,215, 6,318.84 and 2,264.92 is: 3,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215 : 6,318.84 = 2,264.92 : x
  2. Step 2: Convert to fraction form
    4,215/6,318.84 = 2,264.92/x
  3. Step 3: Cross multiply
    4,215x = 6,318.84 × 2,264.92
  4. Step 4: Simplify right side
    4,215x = 14,311,667.09
  5. Step 5: Solve for x
    x = 14,311,667.09/4,215
  6. Step 6: Final answer
    x = 3,395.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.