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Finding the Fourth Proportional to 4,164.77, 6,240.06 and 3,638.99

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Solution

The fourth proportional to 4,164.77, 6,240.06 and 3,638.99 is: 5,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.77 : 6,240.06 = 3,638.99 : x
  2. Step 2: Convert to fraction form
    4,164.77/6,240.06 = 3,638.99/x
  3. Step 3: Cross multiply
    4,164.77x = 6,240.06 × 3,638.99
  4. Step 4: Simplify right side
    4,164.77x = 22,707,531.54
  5. Step 5: Solve for x
    x = 22,707,531.54/4,164.77
  6. Step 6: Final answer
    x = 5,452.29

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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.