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Finding the Fourth Proportional to 5,019.66, 7,529.73 and 2,424.78

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Solution

The fourth proportional to 5,019.66, 7,529.73 and 2,424.78 is: 3,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.66 : 7,529.73 = 2,424.78 : x
  2. Step 2: Convert to fraction form
    5,019.66/7,529.73 = 2,424.78/x
  3. Step 3: Cross multiply
    5,019.66x = 7,529.73 × 2,424.78
  4. Step 4: Simplify right side
    5,019.66x = 18,257,938.71
  5. Step 5: Solve for x
    x = 18,257,938.71/5,019.66
  6. Step 6: Final answer
    x = 3,637.29

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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.