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Finding the Fourth Proportional to 5,577.64, 7,697.06 and 3,219.73

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Solution

The fourth proportional to 5,577.64, 7,697.06 and 3,219.73 is: 4,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.64 : 7,697.06 = 3,219.73 : x
  2. Step 2: Convert to fraction form
    5,577.64/7,697.06 = 3,219.73/x
  3. Step 3: Cross multiply
    5,577.64x = 7,697.06 × 3,219.73
  4. Step 4: Simplify right side
    5,577.64x = 24,782,400.41
  5. Step 5: Solve for x
    x = 24,782,400.41/5,577.64
  6. Step 6: Final answer
    x = 4,443.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.