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Finding the Fourth Proportional to 5,476.86, 8,202.12 and 3,129.75

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Solution

The fourth proportional to 5,476.86, 8,202.12 and 3,129.75 is: 4,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.86 : 8,202.12 = 3,129.75 : x
  2. Step 2: Convert to fraction form
    5,476.86/8,202.12 = 3,129.75/x
  3. Step 3: Cross multiply
    5,476.86x = 8,202.12 × 3,129.75
  4. Step 4: Simplify right side
    5,476.86x = 25,670,585.07
  5. Step 5: Solve for x
    x = 25,670,585.07/5,476.86
  6. Step 6: Final answer
    x = 4,687.10

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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.