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Finding the Fourth Proportional to 4,997.16, 6,894 and 3,006.72

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Solution

The fourth proportional to 4,997.16, 6,894 and 3,006.72 is: 4,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.16 : 6,894 = 3,006.72 : x
  2. Step 2: Convert to fraction form
    4,997.16/6,894 = 3,006.72/x
  3. Step 3: Cross multiply
    4,997.16x = 6,894 × 3,006.72
  4. Step 4: Simplify right side
    4,997.16x = 20,728,327.68
  5. Step 5: Solve for x
    x = 20,728,327.68/4,997.16
  6. Step 6: Final answer
    x = 4,148.02

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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.