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Finding the Fourth Proportional to 5,812.50, 8,722.59 and 2,734.74

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Solution

The fourth proportional to 5,812.50, 8,722.59 and 2,734.74 is: 4,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.50 : 8,722.59 = 2,734.74 : x
  2. Step 2: Convert to fraction form
    5,812.50/8,722.59 = 2,734.74/x
  3. Step 3: Cross multiply
    5,812.50x = 8,722.59 × 2,734.74
  4. Step 4: Simplify right side
    5,812.50x = 23,854,015.78
  5. Step 5: Solve for x
    x = 23,854,015.78/5,812.50
  6. Step 6: Final answer
    x = 4,103.92

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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.