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Finding the Fourth Proportional to 5,470.67, 8,198.15 and 2,349.81

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Solution

The fourth proportional to 5,470.67, 8,198.15 and 2,349.81 is: 3,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.67 : 8,198.15 = 2,349.81 : x
  2. Step 2: Convert to fraction form
    5,470.67/8,198.15 = 2,349.81/x
  3. Step 3: Cross multiply
    5,470.67x = 8,198.15 × 2,349.81
  4. Step 4: Simplify right side
    5,470.67x = 19,264,083.10
  5. Step 5: Solve for x
    x = 19,264,083.10/5,470.67
  6. Step 6: Final answer
    x = 3,521.34

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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.