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Finding the Fourth Proportional to 5,807.93, 8,723.10 and 4,976.87

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Solution

The fourth proportional to 5,807.93, 8,723.10 and 4,976.87 is: 7,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.93 : 8,723.10 = 4,976.87 : x
  2. Step 2: Convert to fraction form
    5,807.93/8,723.10 = 4,976.87/x
  3. Step 3: Cross multiply
    5,807.93x = 8,723.10 × 4,976.87
  4. Step 4: Simplify right side
    5,807.93x = 43,413,734.70
  5. Step 5: Solve for x
    x = 43,413,734.70/5,807.93
  6. Step 6: Final answer
    x = 7,474.91

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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.