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Finding the Fourth Proportional to 5,476.05, 8,212.86 and 5,420.16

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Solution

The fourth proportional to 5,476.05, 8,212.86 and 5,420.16 is: 8,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.05 : 8,212.86 = 5,420.16 : x
  2. Step 2: Convert to fraction form
    5,476.05/8,212.86 = 5,420.16/x
  3. Step 3: Cross multiply
    5,476.05x = 8,212.86 × 5,420.16
  4. Step 4: Simplify right side
    5,476.05x = 44,515,015.26
  5. Step 5: Solve for x
    x = 44,515,015.26/5,476.05
  6. Step 6: Final answer
    x = 8,129.04

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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.