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Finding the Fourth Proportional to 5,476.98, 8,216.24 and 1,778.02

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Solution

The fourth proportional to 5,476.98, 8,216.24 and 1,778.02 is: 2,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.98 : 8,216.24 = 1,778.02 : x
  2. Step 2: Convert to fraction form
    5,476.98/8,216.24 = 1,778.02/x
  3. Step 3: Cross multiply
    5,476.98x = 8,216.24 × 1,778.02
  4. Step 4: Simplify right side
    5,476.98x = 14,608,609.61
  5. Step 5: Solve for x
    x = 14,608,609.61/5,476.98
  6. Step 6: Final answer
    x = 2,667.27

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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.