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Finding the Fourth Proportional to 4,292.49, 6,441.22 and 2,318.11

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Solution

The fourth proportional to 4,292.49, 6,441.22 and 2,318.11 is: 3,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.49 : 6,441.22 = 2,318.11 : x
  2. Step 2: Convert to fraction form
    4,292.49/6,441.22 = 2,318.11/x
  3. Step 3: Cross multiply
    4,292.49x = 6,441.22 × 2,318.11
  4. Step 4: Simplify right side
    4,292.49x = 14,931,456.49
  5. Step 5: Solve for x
    x = 14,931,456.49/4,292.49
  6. Step 6: Final answer
    x = 3,478.51

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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.