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Finding the Fourth Proportional to 5,709.74, 7,884.83 and 5,399.11

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Solution

The fourth proportional to 5,709.74, 7,884.83 and 5,399.11 is: 7,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.74 : 7,884.83 = 5,399.11 : x
  2. Step 2: Convert to fraction form
    5,709.74/7,884.83 = 5,399.11/x
  3. Step 3: Cross multiply
    5,709.74x = 7,884.83 × 5,399.11
  4. Step 4: Simplify right side
    5,709.74x = 42,571,064.50
  5. Step 5: Solve for x
    x = 42,571,064.50/5,709.74
  6. Step 6: Final answer
    x = 7,455.87

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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.