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Finding the Fourth Proportional to 6,381.81, 8,805.54 and 3,728.01

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Solution

The fourth proportional to 6,381.81, 8,805.54 and 3,728.01 is: 5,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.81 : 8,805.54 = 3,728.01 : x
  2. Step 2: Convert to fraction form
    6,381.81/8,805.54 = 3,728.01/x
  3. Step 3: Cross multiply
    6,381.81x = 8,805.54 × 3,728.01
  4. Step 4: Simplify right side
    6,381.81x = 32,827,141.18
  5. Step 5: Solve for x
    x = 32,827,141.18/6,381.81
  6. Step 6: Final answer
    x = 5,143.86

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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.