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Finding the Fourth Proportional to 5,605.58, 7,733.85 and 3,617.46

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Solution

The fourth proportional to 5,605.58, 7,733.85 and 3,617.46 is: 4,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.58 : 7,733.85 = 3,617.46 : x
  2. Step 2: Convert to fraction form
    5,605.58/7,733.85 = 3,617.46/x
  3. Step 3: Cross multiply
    5,605.58x = 7,733.85 × 3,617.46
  4. Step 4: Simplify right side
    5,605.58x = 27,976,879.46
  5. Step 5: Solve for x
    x = 27,976,879.46/5,605.58
  6. Step 6: Final answer
    x = 4,990.90

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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.