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Finding the Fourth Proportional to 6,031.76, 8,323.80 and 3,673.44

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Solution

The fourth proportional to 6,031.76, 8,323.80 and 3,673.44 is: 5,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.76 : 8,323.80 = 3,673.44 : x
  2. Step 2: Convert to fraction form
    6,031.76/8,323.80 = 3,673.44/x
  3. Step 3: Cross multiply
    6,031.76x = 8,323.80 × 3,673.44
  4. Step 4: Simplify right side
    6,031.76x = 30,576,979.87
  5. Step 5: Solve for x
    x = 30,576,979.87/6,031.76
  6. Step 6: Final answer
    x = 5,069.33

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