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Finding the Fourth Proportional to 4,292.75, 6,439.50 and 1,214.75

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Solution

The fourth proportional to 4,292.75, 6,439.50 and 1,214.75 is: 1,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.75 : 6,439.50 = 1,214.75 : x
  2. Step 2: Convert to fraction form
    4,292.75/6,439.50 = 1,214.75/x
  3. Step 3: Cross multiply
    4,292.75x = 6,439.50 × 1,214.75
  4. Step 4: Simplify right side
    4,292.75x = 7,822,382.63
  5. Step 5: Solve for x
    x = 7,822,382.63/4,292.75
  6. Step 6: Final answer
    x = 1,822.23

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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.