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Finding the Fourth Proportional to 5,843.61, 8,772.30 and 4,611.87

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Solution

The fourth proportional to 5,843.61, 8,772.30 and 4,611.87 is: 6,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.61 : 8,772.30 = 4,611.87 : x
  2. Step 2: Convert to fraction form
    5,843.61/8,772.30 = 4,611.87/x
  3. Step 3: Cross multiply
    5,843.61x = 8,772.30 × 4,611.87
  4. Step 4: Simplify right side
    5,843.61x = 40,456,707.20
  5. Step 5: Solve for x
    x = 40,456,707.20/5,843.61
  6. Step 6: Final answer
    x = 6,923.24

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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.