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Finding the Fourth Proportional to 6,034.32, 8,327.48 and 3,382

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Solution

The fourth proportional to 6,034.32, 8,327.48 and 3,382 is: 4,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.32 : 8,327.48 = 3,382 : x
  2. Step 2: Convert to fraction form
    6,034.32/8,327.48 = 3,382/x
  3. Step 3: Cross multiply
    6,034.32x = 8,327.48 × 3,382
  4. Step 4: Simplify right side
    6,034.32x = 28,163,537.36
  5. Step 5: Solve for x
    x = 28,163,537.36/6,034.32
  6. Step 6: Final answer
    x = 4,667.23

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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.