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Finding the Fourth Proportional to 5,336.70, 8,005.05 and 2,564.70

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Solution

The fourth proportional to 5,336.70, 8,005.05 and 2,564.70 is: 3,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.70 : 8,005.05 = 2,564.70 : x
  2. Step 2: Convert to fraction form
    5,336.70/8,005.05 = 2,564.70/x
  3. Step 3: Cross multiply
    5,336.70x = 8,005.05 × 2,564.70
  4. Step 4: Simplify right side
    5,336.70x = 20,530,551.74
  5. Step 5: Solve for x
    x = 20,530,551.74/5,336.70
  6. Step 6: Final answer
    x = 3,847.05

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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.