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Finding the Fourth Proportional to 5,412.94, 8,122.10 and 2,493.30

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Solution

The fourth proportional to 5,412.94, 8,122.10 and 2,493.30 is: 3,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.94 : 8,122.10 = 2,493.30 : x
  2. Step 2: Convert to fraction form
    5,412.94/8,122.10 = 2,493.30/x
  3. Step 3: Cross multiply
    5,412.94x = 8,122.10 × 2,493.30
  4. Step 4: Simplify right side
    5,412.94x = 20,250,831.93
  5. Step 5: Solve for x
    x = 20,250,831.93/5,412.94
  6. Step 6: Final answer
    x = 3,741.19

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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.