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Finding the Fourth Proportional to 5,756.83, 8,635.43 and 1,596.88

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Solution

The fourth proportional to 5,756.83, 8,635.43 and 1,596.88 is: 2,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.83 : 8,635.43 = 1,596.88 : x
  2. Step 2: Convert to fraction form
    5,756.83/8,635.43 = 1,596.88/x
  3. Step 3: Cross multiply
    5,756.83x = 8,635.43 × 1,596.88
  4. Step 4: Simplify right side
    5,756.83x = 13,789,745.46
  5. Step 5: Solve for x
    x = 13,789,745.46/5,756.83
  6. Step 6: Final answer
    x = 2,395.37

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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.