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Finding the Fourth Proportional to 3,064.61, 4,227.89 and 2,002.01

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Solution

The fourth proportional to 3,064.61, 4,227.89 and 2,002.01 is: 2,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.61 : 4,227.89 = 2,002.01 : x
  2. Step 2: Convert to fraction form
    3,064.61/4,227.89 = 2,002.01/x
  3. Step 3: Cross multiply
    3,064.61x = 4,227.89 × 2,002.01
  4. Step 4: Simplify right side
    3,064.61x = 8,464,246.91
  5. Step 5: Solve for x
    x = 8,464,246.91/3,064.61
  6. Step 6: Final answer
    x = 2,761.94

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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.