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Finding the Fourth Proportional to 3,325.24, 4,987.82 and 859.84

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Solution

The fourth proportional to 3,325.24, 4,987.82 and 859.84 is: 1,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325.24 : 4,987.82 = 859.84 : x
  2. Step 2: Convert to fraction form
    3,325.24/4,987.82 = 859.84/x
  3. Step 3: Cross multiply
    3,325.24x = 4,987.82 × 859.84
  4. Step 4: Simplify right side
    3,325.24x = 4,288,727.15
  5. Step 5: Solve for x
    x = 4,288,727.15/3,325.24
  6. Step 6: Final answer
    x = 1,289.75

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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.