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Finding the Fourth Proportional to 4,822.84, 7,234.26 and 1,536.94

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Solution

The fourth proportional to 4,822.84, 7,234.26 and 1,536.94 is: 2,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.84 : 7,234.26 = 1,536.94 : x
  2. Step 2: Convert to fraction form
    4,822.84/7,234.26 = 1,536.94/x
  3. Step 3: Cross multiply
    4,822.84x = 7,234.26 × 1,536.94
  4. Step 4: Simplify right side
    4,822.84x = 11,118,623.56
  5. Step 5: Solve for x
    x = 11,118,623.56/4,822.84
  6. Step 6: Final answer
    x = 2,305.41

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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.