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Finding the Fourth Proportional to 5,577.96, 8,363.58 and 3,844.68

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Solution

The fourth proportional to 5,577.96, 8,363.58 and 3,844.68 is: 5,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.96 : 8,363.58 = 3,844.68 : x
  2. Step 2: Convert to fraction form
    5,577.96/8,363.58 = 3,844.68/x
  3. Step 3: Cross multiply
    5,577.96x = 8,363.58 × 3,844.68
  4. Step 4: Simplify right side
    5,577.96x = 32,155,288.75
  5. Step 5: Solve for x
    x = 32,155,288.75/5,577.96
  6. Step 6: Final answer
    x = 5,764.70

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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.