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Finding the Fourth Proportional to 5,216.86, 7,816.49 and 2,580.85

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Solution

The fourth proportional to 5,216.86, 7,816.49 and 2,580.85 is: 3,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.86 : 7,816.49 = 2,580.85 : x
  2. Step 2: Convert to fraction form
    5,216.86/7,816.49 = 2,580.85/x
  3. Step 3: Cross multiply
    5,216.86x = 7,816.49 × 2,580.85
  4. Step 4: Simplify right side
    5,216.86x = 20,173,155.77
  5. Step 5: Solve for x
    x = 20,173,155.77/5,216.86
  6. Step 6: Final answer
    x = 3,866.92

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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.