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Finding the Fourth Proportional to 5,605.24, 7,738.34 and 3,367.66

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Solution

The fourth proportional to 5,605.24, 7,738.34 and 3,367.66 is: 4,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.24 : 7,738.34 = 3,367.66 : x
  2. Step 2: Convert to fraction form
    5,605.24/7,738.34 = 3,367.66/x
  3. Step 3: Cross multiply
    5,605.24x = 7,738.34 × 3,367.66
  4. Step 4: Simplify right side
    5,605.24x = 26,060,098.08
  5. Step 5: Solve for x
    x = 26,060,098.08/5,605.24
  6. Step 6: Final answer
    x = 4,649.24

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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.