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Finding the Fourth Proportional to 5,013.24, 7,519.89 and 3,064.99

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Solution

The fourth proportional to 5,013.24, 7,519.89 and 3,064.99 is: 4,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013.24 : 7,519.89 = 3,064.99 : x
  2. Step 2: Convert to fraction form
    5,013.24/7,519.89 = 3,064.99/x
  3. Step 3: Cross multiply
    5,013.24x = 7,519.89 × 3,064.99
  4. Step 4: Simplify right side
    5,013.24x = 23,048,377.20
  5. Step 5: Solve for x
    x = 23,048,377.20/5,013.24
  6. Step 6: Final answer
    x = 4,597.50

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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.