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Finding the Fourth Proportional to 5,439.36, 8,105.05 and 5,174.90

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Solution

The fourth proportional to 5,439.36, 8,105.05 and 5,174.90 is: 7,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.36 : 8,105.05 = 5,174.90 : x
  2. Step 2: Convert to fraction form
    5,439.36/8,105.05 = 5,174.90/x
  3. Step 3: Cross multiply
    5,439.36x = 8,105.05 × 5,174.90
  4. Step 4: Simplify right side
    5,439.36x = 41,942,823.25
  5. Step 5: Solve for x
    x = 41,942,823.25/5,439.36
  6. Step 6: Final answer
    x = 7,710.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.