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Finding the Fourth Proportional to 4,997.27, 7,484.63 and 2,914.15

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Solution

The fourth proportional to 4,997.27, 7,484.63 and 2,914.15 is: 4,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.27 : 7,484.63 = 2,914.15 : x
  2. Step 2: Convert to fraction form
    4,997.27/7,484.63 = 2,914.15/x
  3. Step 3: Cross multiply
    4,997.27x = 7,484.63 × 2,914.15
  4. Step 4: Simplify right side
    4,997.27x = 21,811,344.51
  5. Step 5: Solve for x
    x = 21,811,344.51/4,997.27
  6. Step 6: Final answer
    x = 4,364.65

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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.