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Finding the Fourth Proportional to 6,327.59, 8,731.80 and 3,674.84

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Solution

The fourth proportional to 6,327.59, 8,731.80 and 3,674.84 is: 5,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.59 : 8,731.80 = 3,674.84 : x
  2. Step 2: Convert to fraction form
    6,327.59/8,731.80 = 3,674.84/x
  3. Step 3: Cross multiply
    6,327.59x = 8,731.80 × 3,674.84
  4. Step 4: Simplify right side
    6,327.59x = 32,087,924.25
  5. Step 5: Solve for x
    x = 32,087,924.25/6,327.59
  6. Step 6: Final answer
    x = 5,071.12

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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.