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Finding the Fourth Proportional to 5,993.19, 8,263.22 and 4,663.98

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Solution

The fourth proportional to 5,993.19, 8,263.22 and 4,663.98 is: 6,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.19 : 8,263.22 = 4,663.98 : x
  2. Step 2: Convert to fraction form
    5,993.19/8,263.22 = 4,663.98/x
  3. Step 3: Cross multiply
    5,993.19x = 8,263.22 × 4,663.98
  4. Step 4: Simplify right side
    5,993.19x = 38,539,469.50
  5. Step 5: Solve for x
    x = 38,539,469.50/5,993.19
  6. Step 6: Final answer
    x = 6,430.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.