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Finding the Fourth Proportional to 4,102.44, 6,152.22 and 2,540.06

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Solution

The fourth proportional to 4,102.44, 6,152.22 and 2,540.06 is: 3,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.44 : 6,152.22 = 2,540.06 : x
  2. Step 2: Convert to fraction form
    4,102.44/6,152.22 = 2,540.06/x
  3. Step 3: Cross multiply
    4,102.44x = 6,152.22 × 2,540.06
  4. Step 4: Simplify right side
    4,102.44x = 15,626,977.17
  5. Step 5: Solve for x
    x = 15,626,977.17/4,102.44
  6. Step 6: Final answer
    x = 3,809.19

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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.