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Finding the Fourth Proportional to 5,695.66, 8,544.87 and 2,773.30

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Solution

The fourth proportional to 5,695.66, 8,544.87 and 2,773.30 is: 4,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.66 : 8,544.87 = 2,773.30 : x
  2. Step 2: Convert to fraction form
    5,695.66/8,544.87 = 2,773.30/x
  3. Step 3: Cross multiply
    5,695.66x = 8,544.87 × 2,773.30
  4. Step 4: Simplify right side
    5,695.66x = 23,697,487.97
  5. Step 5: Solve for x
    x = 23,697,487.97/5,695.66
  6. Step 6: Final answer
    x = 4,160.62

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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.