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Finding the Fourth Proportional to 4,549.08, 6,822.92 and 1,261.82

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Solution

The fourth proportional to 4,549.08, 6,822.92 and 1,261.82 is: 1,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.08 : 6,822.92 = 1,261.82 : x
  2. Step 2: Convert to fraction form
    4,549.08/6,822.92 = 1,261.82/x
  3. Step 3: Cross multiply
    4,549.08x = 6,822.92 × 1,261.82
  4. Step 4: Simplify right side
    4,549.08x = 8,609,296.91
  5. Step 5: Solve for x
    x = 8,609,296.91/4,549.08
  6. Step 6: Final answer
    x = 1,892.54

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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.