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Finding the Fourth Proportional to 4,100, 5,657.36 and 2,331.04

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Solution

The fourth proportional to 4,100, 5,657.36 and 2,331.04 is: 3,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100 : 5,657.36 = 2,331.04 : x
  2. Step 2: Convert to fraction form
    4,100/5,657.36 = 2,331.04/x
  3. Step 3: Cross multiply
    4,100x = 5,657.36 × 2,331.04
  4. Step 4: Simplify right side
    4,100x = 13,187,532.45
  5. Step 5: Solve for x
    x = 13,187,532.45/4,100
  6. Step 6: Final answer
    x = 3,216.47

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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.