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Finding the Fourth Proportional to 3,677.86, 5,516.78 and 1,597.60

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Solution

The fourth proportional to 3,677.86, 5,516.78 and 1,597.60 is: 2,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.86 : 5,516.78 = 1,597.60 : x
  2. Step 2: Convert to fraction form
    3,677.86/5,516.78 = 1,597.60/x
  3. Step 3: Cross multiply
    3,677.86x = 5,516.78 × 1,597.60
  4. Step 4: Simplify right side
    3,677.86x = 8,813,607.73
  5. Step 5: Solve for x
    x = 8,813,607.73/3,677.86
  6. Step 6: Final answer
    x = 2,396.40

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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.