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Finding the Fourth Proportional to 4,303.92, 6,446.16 and 2,743.92

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Solution

The fourth proportional to 4,303.92, 6,446.16 and 2,743.92 is: 4,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.92 : 6,446.16 = 2,743.92 : x
  2. Step 2: Convert to fraction form
    4,303.92/6,446.16 = 2,743.92/x
  3. Step 3: Cross multiply
    4,303.92x = 6,446.16 × 2,743.92
  4. Step 4: Simplify right side
    4,303.92x = 17,687,747.35
  5. Step 5: Solve for x
    x = 17,687,747.35/4,303.92
  6. Step 6: Final answer
    x = 4,109.68

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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.