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Finding the Fourth Proportional to 5,730.17, 8,611.85 and 3,794.67

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Solution

The fourth proportional to 5,730.17, 8,611.85 and 3,794.67 is: 5,703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.17 : 8,611.85 = 3,794.67 : x
  2. Step 2: Convert to fraction form
    5,730.17/8,611.85 = 3,794.67/x
  3. Step 3: Cross multiply
    5,730.17x = 8,611.85 × 3,794.67
  4. Step 4: Simplify right side
    5,730.17x = 32,679,138.33
  5. Step 5: Solve for x
    x = 32,679,138.33/5,730.17
  6. Step 6: Final answer
    x = 5,703.00

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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.