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Finding the Fourth Proportional to 5,577.95, 8,366.72 and 1,682.25

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Solution

The fourth proportional to 5,577.95, 8,366.72 and 1,682.25 is: 2,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.95 : 8,366.72 = 1,682.25 : x
  2. Step 2: Convert to fraction form
    5,577.95/8,366.72 = 1,682.25/x
  3. Step 3: Cross multiply
    5,577.95x = 8,366.72 × 1,682.25
  4. Step 4: Simplify right side
    5,577.95x = 14,074,906.31
  5. Step 5: Solve for x
    x = 14,074,906.31/5,577.95
  6. Step 6: Final answer
    x = 2,523.31

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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.