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Finding the Fourth Proportional to 5,227.34, 7,840.09 and 1,894.89

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Solution

The fourth proportional to 5,227.34, 7,840.09 and 1,894.89 is: 2,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.34 : 7,840.09 = 1,894.89 : x
  2. Step 2: Convert to fraction form
    5,227.34/7,840.09 = 1,894.89/x
  3. Step 3: Cross multiply
    5,227.34x = 7,840.09 × 1,894.89
  4. Step 4: Simplify right side
    5,227.34x = 14,856,139.91
  5. Step 5: Solve for x
    x = 14,856,139.91/5,227.34
  6. Step 6: Final answer
    x = 2,842.01

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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.