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Finding the Fourth Proportional to 5,773.62, 8,662.26 and 2,263.50

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Solution

The fourth proportional to 5,773.62, 8,662.26 and 2,263.50 is: 3,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.62 : 8,662.26 = 2,263.50 : x
  2. Step 2: Convert to fraction form
    5,773.62/8,662.26 = 2,263.50/x
  3. Step 3: Cross multiply
    5,773.62x = 8,662.26 × 2,263.50
  4. Step 4: Simplify right side
    5,773.62x = 19,607,025.51
  5. Step 5: Solve for x
    x = 19,607,025.51/5,773.62
  6. Step 6: Final answer
    x = 3,395.97

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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.