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Finding the Fourth Proportional to 5,812.56, 8,718.52 and 3,409.61

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Solution

The fourth proportional to 5,812.56, 8,718.52 and 3,409.61 is: 5,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.56 : 8,718.52 = 3,409.61 : x
  2. Step 2: Convert to fraction form
    5,812.56/8,718.52 = 3,409.61/x
  3. Step 3: Cross multiply
    5,812.56x = 8,718.52 × 3,409.61
  4. Step 4: Simplify right side
    5,812.56x = 29,726,735.93
  5. Step 5: Solve for x
    x = 29,726,735.93/5,812.56
  6. Step 6: Final answer
    x = 5,114.22

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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.