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Finding the Fourth Proportional to 6,317.91, 8,718.99 and 3,800.16

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Solution

The fourth proportional to 6,317.91, 8,718.99 and 3,800.16 is: 5,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.91 : 8,718.99 = 3,800.16 : x
  2. Step 2: Convert to fraction form
    6,317.91/8,718.99 = 3,800.16/x
  3. Step 3: Cross multiply
    6,317.91x = 8,718.99 × 3,800.16
  4. Step 4: Simplify right side
    6,317.91x = 33,133,557.04
  5. Step 5: Solve for x
    x = 33,133,557.04/6,317.91
  6. Step 6: Final answer
    x = 5,244.39

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Why These Related Problems?

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