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Finding the Fourth Proportional to 3,277.86, 4,915.73 and 1,086

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Solution

The fourth proportional to 3,277.86, 4,915.73 and 1,086 is: 1,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.86 : 4,915.73 = 1,086 : x
  2. Step 2: Convert to fraction form
    3,277.86/4,915.73 = 1,086/x
  3. Step 3: Cross multiply
    3,277.86x = 4,915.73 × 1,086
  4. Step 4: Simplify right side
    3,277.86x = 5,338,479.39
  5. Step 5: Solve for x
    x = 5,338,479.39/3,277.86
  6. Step 6: Final answer
    x = 1,628.65

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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.