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Finding the Fourth Proportional to 3,339.34, 5,006.58 and 2,761

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Solution

The fourth proportional to 3,339.34, 5,006.58 and 2,761 is: 4,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.34 : 5,006.58 = 2,761 : x
  2. Step 2: Convert to fraction form
    3,339.34/5,006.58 = 2,761/x
  3. Step 3: Cross multiply
    3,339.34x = 5,006.58 × 2,761
  4. Step 4: Simplify right side
    3,339.34x = 13,823,167.38
  5. Step 5: Solve for x
    x = 13,823,167.38/3,339.34
  6. Step 6: Final answer
    x = 4,139.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.