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Finding the Fourth Proportional to 5,412.16, 8,131.20 and 3,468.16

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Solution

The fourth proportional to 5,412.16, 8,131.20 and 3,468.16 is: 5,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.16 : 8,131.20 = 3,468.16 : x
  2. Step 2: Convert to fraction form
    5,412.16/8,131.20 = 3,468.16/x
  3. Step 3: Cross multiply
    5,412.16x = 8,131.20 × 3,468.16
  4. Step 4: Simplify right side
    5,412.16x = 28,200,302.59
  5. Step 5: Solve for x
    x = 28,200,302.59/5,412.16
  6. Step 6: Final answer
    x = 5,210.54

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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.