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Finding the Fourth Proportional to 3,639.59, 5,454.81 and 1,557.14

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Solution

The fourth proportional to 3,639.59, 5,454.81 and 1,557.14 is: 2,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.59 : 5,454.81 = 1,557.14 : x
  2. Step 2: Convert to fraction form
    3,639.59/5,454.81 = 1,557.14/x
  3. Step 3: Cross multiply
    3,639.59x = 5,454.81 × 1,557.14
  4. Step 4: Simplify right side
    3,639.59x = 8,493,902.84
  5. Step 5: Solve for x
    x = 8,493,902.84/3,639.59
  6. Step 6: Final answer
    x = 2,333.76

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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.