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Finding the Fourth Proportional to 5,606.67, 7,735.46 and 3,369.05

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Solution

The fourth proportional to 5,606.67, 7,735.46 and 3,369.05 is: 4,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.67 : 7,735.46 = 3,369.05 : x
  2. Step 2: Convert to fraction form
    5,606.67/7,735.46 = 3,369.05/x
  3. Step 3: Cross multiply
    5,606.67x = 7,735.46 × 3,369.05
  4. Step 4: Simplify right side
    5,606.67x = 26,061,151.51
  5. Step 5: Solve for x
    x = 26,061,151.51/5,606.67
  6. Step 6: Final answer
    x = 4,648.24

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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.