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Finding the Fourth Proportional to 4,309.58, 6,463.46 and 1,968.92

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Solution

The fourth proportional to 4,309.58, 6,463.46 and 1,968.92 is: 2,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.58 : 6,463.46 = 1,968.92 : x
  2. Step 2: Convert to fraction form
    4,309.58/6,463.46 = 1,968.92/x
  3. Step 3: Cross multiply
    4,309.58x = 6,463.46 × 1,968.92
  4. Step 4: Simplify right side
    4,309.58x = 12,725,993.50
  5. Step 5: Solve for x
    x = 12,725,993.50/4,309.58
  6. Step 6: Final answer
    x = 2,952.96

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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.