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Finding the Fourth Proportional to 6,323.49, 8,728.44 and 3,670.38

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Solution

The fourth proportional to 6,323.49, 8,728.44 and 3,670.38 is: 5,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.49 : 8,728.44 = 3,670.38 : x
  2. Step 2: Convert to fraction form
    6,323.49/8,728.44 = 3,670.38/x
  3. Step 3: Cross multiply
    6,323.49x = 8,728.44 × 3,670.38
  4. Step 4: Simplify right side
    6,323.49x = 32,036,691.61
  5. Step 5: Solve for x
    x = 32,036,691.61/6,323.49
  6. Step 6: Final answer
    x = 5,066.30

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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.