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Finding the Fourth Proportional to 5,367.57, 7,410.02 and 4,169.87

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Solution

The fourth proportional to 5,367.57, 7,410.02 and 4,169.87 is: 5,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.57 : 7,410.02 = 4,169.87 : x
  2. Step 2: Convert to fraction form
    5,367.57/7,410.02 = 4,169.87/x
  3. Step 3: Cross multiply
    5,367.57x = 7,410.02 × 4,169.87
  4. Step 4: Simplify right side
    5,367.57x = 30,898,762.20
  5. Step 5: Solve for x
    x = 30,898,762.20/5,367.57
  6. Step 6: Final answer
    x = 5,756.56

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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.