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Finding the Fourth Proportional to 5,595.81, 8,388.24 and 2,083.24

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Solution

The fourth proportional to 5,595.81, 8,388.24 and 2,083.24 is: 3,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.81 : 8,388.24 = 2,083.24 : x
  2. Step 2: Convert to fraction form
    5,595.81/8,388.24 = 2,083.24/x
  3. Step 3: Cross multiply
    5,595.81x = 8,388.24 × 2,083.24
  4. Step 4: Simplify right side
    5,595.81x = 17,474,717.10
  5. Step 5: Solve for x
    x = 17,474,717.10/5,595.81
  6. Step 6: Final answer
    x = 3,122.82

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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.