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Finding the Fourth Proportional to 5,906.46, 8,859.68 and 1,746.52

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Solution

The fourth proportional to 5,906.46, 8,859.68 and 1,746.52 is: 2,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.46 : 8,859.68 = 1,746.52 : x
  2. Step 2: Convert to fraction form
    5,906.46/8,859.68 = 1,746.52/x
  3. Step 3: Cross multiply
    5,906.46x = 8,859.68 × 1,746.52
  4. Step 4: Simplify right side
    5,906.46x = 15,473,608.31
  5. Step 5: Solve for x
    x = 15,473,608.31/5,906.46
  6. Step 6: Final answer
    x = 2,619.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.