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Finding the Fourth Proportional to 6,322.68, 8,729.88 and 4,085.82

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Solution

The fourth proportional to 6,322.68, 8,729.88 and 4,085.82 is: 5,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.68 : 8,729.88 = 4,085.82 : x
  2. Step 2: Convert to fraction form
    6,322.68/8,729.88 = 4,085.82/x
  3. Step 3: Cross multiply
    6,322.68x = 8,729.88 × 4,085.82
  4. Step 4: Simplify right side
    6,322.68x = 35,668,718.30
  5. Step 5: Solve for x
    x = 35,668,718.30/6,322.68
  6. Step 6: Final answer
    x = 5,641.39

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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.