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Finding the Fourth Proportional to 5,965.09, 8,921.40 and 5,311.60

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Solution

The fourth proportional to 5,965.09, 8,921.40 and 5,311.60 is: 7,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.09 : 8,921.40 = 5,311.60 : x
  2. Step 2: Convert to fraction form
    5,965.09/8,921.40 = 5,311.60/x
  3. Step 3: Cross multiply
    5,965.09x = 8,921.40 × 5,311.60
  4. Step 4: Simplify right side
    5,965.09x = 47,386,908.24
  5. Step 5: Solve for x
    x = 47,386,908.24/5,965.09
  6. Step 6: Final answer
    x = 7,944.04

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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.