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Finding the Fourth Proportional to 6,048.21, 8,347.14 and 3,691.74

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Solution

The fourth proportional to 6,048.21, 8,347.14 and 3,691.74 is: 5,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.21 : 8,347.14 = 3,691.74 : x
  2. Step 2: Convert to fraction form
    6,048.21/8,347.14 = 3,691.74/x
  3. Step 3: Cross multiply
    6,048.21x = 8,347.14 × 3,691.74
  4. Step 4: Simplify right side
    6,048.21x = 30,815,470.62
  5. Step 5: Solve for x
    x = 30,815,470.62/6,048.21
  6. Step 6: Final answer
    x = 5,094.97

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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.