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Finding the Fourth Proportional to 5,005.40, 6,906.10 and 2,988.73

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Solution

The fourth proportional to 5,005.40, 6,906.10 and 2,988.73 is: 4,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.40 : 6,906.10 = 2,988.73 : x
  2. Step 2: Convert to fraction form
    5,005.40/6,906.10 = 2,988.73/x
  3. Step 3: Cross multiply
    5,005.40x = 6,906.10 × 2,988.73
  4. Step 4: Simplify right side
    5,005.40x = 20,640,468.25
  5. Step 5: Solve for x
    x = 20,640,468.25/5,005.40
  6. Step 6: Final answer
    x = 4,123.64

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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.