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Finding the Fourth Proportional to 4,102.58, 6,142.92 and 2,150.70

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Solution

The fourth proportional to 4,102.58, 6,142.92 and 2,150.70 is: 3,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.58 : 6,142.92 = 2,150.70 : x
  2. Step 2: Convert to fraction form
    4,102.58/6,142.92 = 2,150.70/x
  3. Step 3: Cross multiply
    4,102.58x = 6,142.92 × 2,150.70
  4. Step 4: Simplify right side
    4,102.58x = 13,211,578.04
  5. Step 5: Solve for x
    x = 13,211,578.04/4,102.58
  6. Step 6: Final answer
    x = 3,220.31

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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.