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Finding the Fourth Proportional to 5,923.66, 8,833.98 and 5,844.20

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Solution

The fourth proportional to 5,923.66, 8,833.98 and 5,844.20 is: 8,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.66 : 8,833.98 = 5,844.20 : x
  2. Step 2: Convert to fraction form
    5,923.66/8,833.98 = 5,844.20/x
  3. Step 3: Cross multiply
    5,923.66x = 8,833.98 × 5,844.20
  4. Step 4: Simplify right side
    5,923.66x = 51,627,545.92
  5. Step 5: Solve for x
    x = 51,627,545.92/5,923.66
  6. Step 6: Final answer
    x = 8,715.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.