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Finding the Fourth Proportional to 5,006.24, 7,510.42 and 1,496.52

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Solution

The fourth proportional to 5,006.24, 7,510.42 and 1,496.52 is: 2,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.24 : 7,510.42 = 1,496.52 : x
  2. Step 2: Convert to fraction form
    5,006.24/7,510.42 = 1,496.52/x
  3. Step 3: Cross multiply
    5,006.24x = 7,510.42 × 1,496.52
  4. Step 4: Simplify right side
    5,006.24x = 11,239,493.74
  5. Step 5: Solve for x
    x = 11,239,493.74/5,006.24
  6. Step 6: Final answer
    x = 2,245.10

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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.