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Finding the Fourth Proportional to 4,549.24, 6,822.63 and 1,951.57

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Solution

The fourth proportional to 4,549.24, 6,822.63 and 1,951.57 is: 2,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.24 : 6,822.63 = 1,951.57 : x
  2. Step 2: Convert to fraction form
    4,549.24/6,822.63 = 1,951.57/x
  3. Step 3: Cross multiply
    4,549.24x = 6,822.63 × 1,951.57
  4. Step 4: Simplify right side
    4,549.24x = 13,314,840.03
  5. Step 5: Solve for x
    x = 13,314,840.03/4,549.24
  6. Step 6: Final answer
    x = 2,926.83

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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.