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Finding the Fourth Proportional to 5,121.86, 7,670.47 and 3,473.41

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Solution

The fourth proportional to 5,121.86, 7,670.47 and 3,473.41 is: 5,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.86 : 7,670.47 = 3,473.41 : x
  2. Step 2: Convert to fraction form
    5,121.86/7,670.47 = 3,473.41/x
  3. Step 3: Cross multiply
    5,121.86x = 7,670.47 × 3,473.41
  4. Step 4: Simplify right side
    5,121.86x = 26,642,687.20
  5. Step 5: Solve for x
    x = 26,642,687.20/5,121.86
  6. Step 6: Final answer
    x = 5,201.76

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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.