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Finding the Fourth Proportional to 5,241.30, 7,861.95 and 1,778.58

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Solution

The fourth proportional to 5,241.30, 7,861.95 and 1,778.58 is: 2,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.30 : 7,861.95 = 1,778.58 : x
  2. Step 2: Convert to fraction form
    5,241.30/7,861.95 = 1,778.58/x
  3. Step 3: Cross multiply
    5,241.30x = 7,861.95 × 1,778.58
  4. Step 4: Simplify right side
    5,241.30x = 13,983,107.03
  5. Step 5: Solve for x
    x = 13,983,107.03/5,241.30
  6. Step 6: Final answer
    x = 2,667.87

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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.