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Finding the Fourth Proportional to 5,820.66, 8,724.92 and 2,309.72

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Solution

The fourth proportional to 5,820.66, 8,724.92 and 2,309.72 is: 3,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.66 : 8,724.92 = 2,309.72 : x
  2. Step 2: Convert to fraction form
    5,820.66/8,724.92 = 2,309.72/x
  3. Step 3: Cross multiply
    5,820.66x = 8,724.92 × 2,309.72
  4. Step 4: Simplify right side
    5,820.66x = 20,152,067.05
  5. Step 5: Solve for x
    x = 20,152,067.05/5,820.66
  6. Step 6: Final answer
    x = 3,462.16

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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.