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Finding the Fourth Proportional to 5,717.72, 8,579.86 and 3,085.22

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Solution

The fourth proportional to 5,717.72, 8,579.86 and 3,085.22 is: 4,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.72 : 8,579.86 = 3,085.22 : x
  2. Step 2: Convert to fraction form
    5,717.72/8,579.86 = 3,085.22/x
  3. Step 3: Cross multiply
    5,717.72x = 8,579.86 × 3,085.22
  4. Step 4: Simplify right side
    5,717.72x = 26,470,712.77
  5. Step 5: Solve for x
    x = 26,470,712.77/5,717.72
  6. Step 6: Final answer
    x = 4,629.60

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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.