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Finding the Fourth Proportional to 5,153.57, 7,109.21 and 3,662.09

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Solution

The fourth proportional to 5,153.57, 7,109.21 and 3,662.09 is: 5,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.57 : 7,109.21 = 3,662.09 : x
  2. Step 2: Convert to fraction form
    5,153.57/7,109.21 = 3,662.09/x
  3. Step 3: Cross multiply
    5,153.57x = 7,109.21 × 3,662.09
  4. Step 4: Simplify right side
    5,153.57x = 26,034,548.54
  5. Step 5: Solve for x
    x = 26,034,548.54/5,153.57
  6. Step 6: Final answer
    x = 5,051.75

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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.