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Finding the Fourth Proportional to 5,772.83, 8,645.07 and 3,686.68

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Solution

The fourth proportional to 5,772.83, 8,645.07 and 3,686.68 is: 5,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.83 : 8,645.07 = 3,686.68 : x
  2. Step 2: Convert to fraction form
    5,772.83/8,645.07 = 3,686.68/x
  3. Step 3: Cross multiply
    5,772.83x = 8,645.07 × 3,686.68
  4. Step 4: Simplify right side
    5,772.83x = 31,871,563.44
  5. Step 5: Solve for x
    x = 31,871,563.44/5,772.83
  6. Step 6: Final answer
    x = 5,520.96

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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.