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Finding the Fourth Proportional to 4,593.40, 6,892.36 and 1,822.05

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Solution

The fourth proportional to 4,593.40, 6,892.36 and 1,822.05 is: 2,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.40 : 6,892.36 = 1,822.05 : x
  2. Step 2: Convert to fraction form
    4,593.40/6,892.36 = 1,822.05/x
  3. Step 3: Cross multiply
    4,593.40x = 6,892.36 × 1,822.05
  4. Step 4: Simplify right side
    4,593.40x = 12,558,219.98
  5. Step 5: Solve for x
    x = 12,558,219.98/4,593.40
  6. Step 6: Final answer
    x = 2,733.97

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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.