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Finding the Fourth Proportional to 7,321.74, 10,977.39 and 3,424.02

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Solution

The fourth proportional to 7,321.74, 10,977.39 and 3,424.02 is: 5,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.74 : 10,977.39 = 3,424.02 : x
  2. Step 2: Convert to fraction form
    7,321.74/10,977.39 = 3,424.02/x
  3. Step 3: Cross multiply
    7,321.74x = 10,977.39 × 3,424.02
  4. Step 4: Simplify right side
    7,321.74x = 37,586,802.91
  5. Step 5: Solve for x
    x = 37,586,802.91/7,321.74
  6. Step 6: Final answer
    x = 5,133.59

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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.