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Finding the Fourth Proportional to 5,577.27, 8,366.22 and 2,458.74

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Solution

The fourth proportional to 5,577.27, 8,366.22 and 2,458.74 is: 3,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.27 : 8,366.22 = 2,458.74 : x
  2. Step 2: Convert to fraction form
    5,577.27/8,366.22 = 2,458.74/x
  3. Step 3: Cross multiply
    5,577.27x = 8,366.22 × 2,458.74
  4. Step 4: Simplify right side
    5,577.27x = 20,570,359.76
  5. Step 5: Solve for x
    x = 20,570,359.76/5,577.27
  6. Step 6: Final answer
    x = 3,688.25

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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.