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Finding the Fourth Proportional to 5,197.87, 7,795.41 and 2,421.83

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Solution

The fourth proportional to 5,197.87, 7,795.41 and 2,421.83 is: 3,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.87 : 7,795.41 = 2,421.83 : x
  2. Step 2: Convert to fraction form
    5,197.87/7,795.41 = 2,421.83/x
  3. Step 3: Cross multiply
    5,197.87x = 7,795.41 × 2,421.83
  4. Step 4: Simplify right side
    5,197.87x = 18,879,168.21
  5. Step 5: Solve for x
    x = 18,879,168.21/5,197.87
  6. Step 6: Final answer
    x = 3,632.10

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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.