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Finding the Fourth Proportional to 5,006.76, 7,510.42 and 2,233.63

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Solution

The fourth proportional to 5,006.76, 7,510.42 and 2,233.63 is: 3,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.76 : 7,510.42 = 2,233.63 : x
  2. Step 2: Convert to fraction form
    5,006.76/7,510.42 = 2,233.63/x
  3. Step 3: Cross multiply
    5,006.76x = 7,510.42 × 2,233.63
  4. Step 4: Simplify right side
    5,006.76x = 16,775,469.36
  5. Step 5: Solve for x
    x = 16,775,469.36/5,006.76
  6. Step 6: Final answer
    x = 3,350.56

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