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Finding the Fourth Proportional to 5,006.34, 6,907.68 and 2,909.34

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Solution

The fourth proportional to 5,006.34, 6,907.68 and 2,909.34 is: 4,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.34 : 6,907.68 = 2,909.34 : x
  2. Step 2: Convert to fraction form
    5,006.34/6,907.68 = 2,909.34/x
  3. Step 3: Cross multiply
    5,006.34x = 6,907.68 × 2,909.34
  4. Step 4: Simplify right side
    5,006.34x = 20,096,789.73
  5. Step 5: Solve for x
    x = 20,096,789.73/5,006.34
  6. Step 6: Final answer
    x = 4,014.27

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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.