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Finding the Fourth Proportional to 3,859.50, 5,322.44 and 3,113.08

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Solution

The fourth proportional to 3,859.50, 5,322.44 and 3,113.08 is: 4,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.50 : 5,322.44 = 3,113.08 : x
  2. Step 2: Convert to fraction form
    3,859.50/5,322.44 = 3,113.08/x
  3. Step 3: Cross multiply
    3,859.50x = 5,322.44 × 3,113.08
  4. Step 4: Simplify right side
    3,859.50x = 16,569,181.52
  5. Step 5: Solve for x
    x = 16,569,181.52/3,859.50
  6. Step 6: Final answer
    x = 4,293.09

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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.