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Finding the Fourth Proportional to 4,596.29, 6,892.01 and 1,997.81

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Solution

The fourth proportional to 4,596.29, 6,892.01 and 1,997.81 is: 2,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.29 : 6,892.01 = 1,997.81 : x
  2. Step 2: Convert to fraction form
    4,596.29/6,892.01 = 1,997.81/x
  3. Step 3: Cross multiply
    4,596.29x = 6,892.01 × 1,997.81
  4. Step 4: Simplify right side
    4,596.29x = 13,768,933.74
  5. Step 5: Solve for x
    x = 13,768,933.74/4,596.29
  6. Step 6: Final answer
    x = 2,995.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.