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Finding the Fourth Proportional to 4,694.72, 6,463.94 and 3,985.07

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Solution

The fourth proportional to 4,694.72, 6,463.94 and 3,985.07 is: 5,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.72 : 6,463.94 = 3,985.07 : x
  2. Step 2: Convert to fraction form
    4,694.72/6,463.94 = 3,985.07/x
  3. Step 3: Cross multiply
    4,694.72x = 6,463.94 × 3,985.07
  4. Step 4: Simplify right side
    4,694.72x = 25,759,249.61
  5. Step 5: Solve for x
    x = 25,759,249.61/4,694.72
  6. Step 6: Final answer
    x = 5,486.86

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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.