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Finding the Fourth Proportional to 4,562.16, 6,843.24 and 2,919.48

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Solution

The fourth proportional to 4,562.16, 6,843.24 and 2,919.48 is: 4,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.16 : 6,843.24 = 2,919.48 : x
  2. Step 2: Convert to fraction form
    4,562.16/6,843.24 = 2,919.48/x
  3. Step 3: Cross multiply
    4,562.16x = 6,843.24 × 2,919.48
  4. Step 4: Simplify right side
    4,562.16x = 19,978,702.32
  5. Step 5: Solve for x
    x = 19,978,702.32/4,562.16
  6. Step 6: Final answer
    x = 4,379.22

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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.