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Finding the Fourth Proportional to 5,322.65, 7,982.69 and 2,359.46

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Solution

The fourth proportional to 5,322.65, 7,982.69 and 2,359.46 is: 3,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.65 : 7,982.69 = 2,359.46 : x
  2. Step 2: Convert to fraction form
    5,322.65/7,982.69 = 2,359.46/x
  3. Step 3: Cross multiply
    5,322.65x = 7,982.69 × 2,359.46
  4. Step 4: Simplify right side
    5,322.65x = 18,834,845.91
  5. Step 5: Solve for x
    x = 18,834,845.91/5,322.65
  6. Step 6: Final answer
    x = 3,538.63

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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.