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Finding the Fourth Proportional to 5,216.85, 7,827.08 and 2,294.73

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Solution

The fourth proportional to 5,216.85, 7,827.08 and 2,294.73 is: 3,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.85 : 7,827.08 = 2,294.73 : x
  2. Step 2: Convert to fraction form
    5,216.85/7,827.08 = 2,294.73/x
  3. Step 3: Cross multiply
    5,216.85x = 7,827.08 × 2,294.73
  4. Step 4: Simplify right side
    5,216.85x = 17,961,023.81
  5. Step 5: Solve for x
    x = 17,961,023.81/5,216.85
  6. Step 6: Final answer
    x = 3,442.89

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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.