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Finding the Fourth Proportional to 5,477.73, 8,217.05 and 1,778.50

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Solution

The fourth proportional to 5,477.73, 8,217.05 and 1,778.50 is: 2,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.73 : 8,217.05 = 1,778.50 : x
  2. Step 2: Convert to fraction form
    5,477.73/8,217.05 = 1,778.50/x
  3. Step 3: Cross multiply
    5,477.73x = 8,217.05 × 1,778.50
  4. Step 4: Simplify right side
    5,477.73x = 14,614,023.43
  5. Step 5: Solve for x
    x = 14,614,023.43/5,477.73
  6. Step 6: Final answer
    x = 2,667.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.