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Finding the Fourth Proportional to 3,577.47, 5,366.22 and 1,629.81

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Solution

The fourth proportional to 3,577.47, 5,366.22 and 1,629.81 is: 2,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.47 : 5,366.22 = 1,629.81 : x
  2. Step 2: Convert to fraction form
    3,577.47/5,366.22 = 1,629.81/x
  3. Step 3: Cross multiply
    3,577.47x = 5,366.22 × 1,629.81
  4. Step 4: Simplify right side
    3,577.47x = 8,745,919.02
  5. Step 5: Solve for x
    x = 8,745,919.02/3,577.47
  6. Step 6: Final answer
    x = 2,444.72

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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.