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Finding the Fourth Proportional to 5,920.50, 8,145.90 and 5,774.70

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Solution

The fourth proportional to 5,920.50, 8,145.90 and 5,774.70 is: 7,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.50 : 8,145.90 = 5,774.70 : x
  2. Step 2: Convert to fraction form
    5,920.50/8,145.90 = 5,774.70/x
  3. Step 3: Cross multiply
    5,920.50x = 8,145.90 × 5,774.70
  4. Step 4: Simplify right side
    5,920.50x = 47,040,128.73
  5. Step 5: Solve for x
    x = 47,040,128.73/5,920.50
  6. Step 6: Final answer
    x = 7,945.30

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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.