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Finding the Fourth Proportional to 5,006.73, 7,510.11 and 2,085

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Solution

The fourth proportional to 5,006.73, 7,510.11 and 2,085 is: 3,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.73 : 7,510.11 = 2,085 : x
  2. Step 2: Convert to fraction form
    5,006.73/7,510.11 = 2,085/x
  3. Step 3: Cross multiply
    5,006.73x = 7,510.11 × 2,085
  4. Step 4: Simplify right side
    5,006.73x = 15,658,579.35
  5. Step 5: Solve for x
    x = 15,658,579.35/5,006.73
  6. Step 6: Final answer
    x = 3,127.51

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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.