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Finding the Fourth Proportional to 5,012.52, 7,516 and 2,053.05

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Solution

The fourth proportional to 5,012.52, 7,516 and 2,053.05 is: 3,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.52 : 7,516 = 2,053.05 : x
  2. Step 2: Convert to fraction form
    5,012.52/7,516 = 2,053.05/x
  3. Step 3: Cross multiply
    5,012.52x = 7,516 × 2,053.05
  4. Step 4: Simplify right side
    5,012.52x = 15,430,723.80
  5. Step 5: Solve for x
    x = 15,430,723.80/5,012.52
  6. Step 6: Final answer
    x = 3,078.44

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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.