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Finding the Fourth Proportional to 5,738.90, 8,596.20 and 4,499.60

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Solution

The fourth proportional to 5,738.90, 8,596.20 and 4,499.60 is: 6,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.90 : 8,596.20 = 4,499.60 : x
  2. Step 2: Convert to fraction form
    5,738.90/8,596.20 = 4,499.60/x
  3. Step 3: Cross multiply
    5,738.90x = 8,596.20 × 4,499.60
  4. Step 4: Simplify right side
    5,738.90x = 38,679,461.52
  5. Step 5: Solve for x
    x = 38,679,461.52/5,738.90
  6. Step 6: Final answer
    x = 6,739.87

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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.