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Finding the Fourth Proportional to 4,094.96, 6,149.32 and 2,544.01

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Solution

The fourth proportional to 4,094.96, 6,149.32 and 2,544.01 is: 3,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.96 : 6,149.32 = 2,544.01 : x
  2. Step 2: Convert to fraction form
    4,094.96/6,149.32 = 2,544.01/x
  3. Step 3: Cross multiply
    4,094.96x = 6,149.32 × 2,544.01
  4. Step 4: Simplify right side
    4,094.96x = 15,643,909.84
  5. Step 5: Solve for x
    x = 15,643,909.84/4,094.96
  6. Step 6: Final answer
    x = 3,820.29

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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.