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Finding the Fourth Proportional to 6,151.91, 8,490.94 and 3,762.32

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Solution

The fourth proportional to 6,151.91, 8,490.94 and 3,762.32 is: 5,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.91 : 8,490.94 = 3,762.32 : x
  2. Step 2: Convert to fraction form
    6,151.91/8,490.94 = 3,762.32/x
  3. Step 3: Cross multiply
    6,151.91x = 8,490.94 × 3,762.32
  4. Step 4: Simplify right side
    6,151.91x = 31,945,581.52
  5. Step 5: Solve for x
    x = 31,945,581.52/6,151.91
  6. Step 6: Final answer
    x = 5,192.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.