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Finding the Fourth Proportional to 5,656.93, 7,806.69 and 3,299.23

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Solution

The fourth proportional to 5,656.93, 7,806.69 and 3,299.23 is: 4,553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.93 : 7,806.69 = 3,299.23 : x
  2. Step 2: Convert to fraction form
    5,656.93/7,806.69 = 3,299.23/x
  3. Step 3: Cross multiply
    5,656.93x = 7,806.69 × 3,299.23
  4. Step 4: Simplify right side
    5,656.93x = 25,756,065.85
  5. Step 5: Solve for x
    x = 25,756,065.85/5,656.93
  6. Step 6: Final answer
    x = 4,553.01

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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.