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Finding the Fourth Proportional to 6,031.46, 8,323.38 and 3,378.89

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Solution

The fourth proportional to 6,031.46, 8,323.38 and 3,378.89 is: 4,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.46 : 8,323.38 = 3,378.89 : x
  2. Step 2: Convert to fraction form
    6,031.46/8,323.38 = 3,378.89/x
  3. Step 3: Cross multiply
    6,031.46x = 8,323.38 × 3,378.89
  4. Step 4: Simplify right side
    6,031.46x = 28,123,743.83
  5. Step 5: Solve for x
    x = 28,123,743.83/6,031.46
  6. Step 6: Final answer
    x = 4,662.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.