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Finding the Fourth Proportional to 4,309.20, 6,460.02 and 2,224.80

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Solution

The fourth proportional to 4,309.20, 6,460.02 and 2,224.80 is: 3,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.20 : 6,460.02 = 2,224.80 : x
  2. Step 2: Convert to fraction form
    4,309.20/6,460.02 = 2,224.80/x
  3. Step 3: Cross multiply
    4,309.20x = 6,460.02 × 2,224.80
  4. Step 4: Simplify right side
    4,309.20x = 14,372,252.50
  5. Step 5: Solve for x
    x = 14,372,252.50/4,309.20
  6. Step 6: Final answer
    x = 3,335.25

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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.