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Finding the Fourth Proportional to 3,256.50, 4,493.97 and 1,859.25

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Solution

The fourth proportional to 3,256.50, 4,493.97 and 1,859.25 is: 2,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.50 : 4,493.97 = 1,859.25 : x
  2. Step 2: Convert to fraction form
    3,256.50/4,493.97 = 1,859.25/x
  3. Step 3: Cross multiply
    3,256.50x = 4,493.97 × 1,859.25
  4. Step 4: Simplify right side
    3,256.50x = 8,355,413.72
  5. Step 5: Solve for x
    x = 8,355,413.72/3,256.50
  6. Step 6: Final answer
    x = 2,565.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.