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Finding the Fourth Proportional to 4,809.29, 7,194.97 and 3,642.67

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Solution

The fourth proportional to 4,809.29, 7,194.97 and 3,642.67 is: 5,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.29 : 7,194.97 = 3,642.67 : x
  2. Step 2: Convert to fraction form
    4,809.29/7,194.97 = 3,642.67/x
  3. Step 3: Cross multiply
    4,809.29x = 7,194.97 × 3,642.67
  4. Step 4: Simplify right side
    4,809.29x = 26,208,901.37
  5. Step 5: Solve for x
    x = 26,208,901.37/4,809.29
  6. Step 6: Final answer
    x = 5,449.64

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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.