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Finding the Fourth Proportional to 4,094.58, 5,649 and 2,766.18

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Solution

The fourth proportional to 4,094.58, 5,649 and 2,766.18 is: 3,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.58 : 5,649 = 2,766.18 : x
  2. Step 2: Convert to fraction form
    4,094.58/5,649 = 2,766.18/x
  3. Step 3: Cross multiply
    4,094.58x = 5,649 × 2,766.18
  4. Step 4: Simplify right side
    4,094.58x = 15,626,150.82
  5. Step 5: Solve for x
    x = 15,626,150.82/4,094.58
  6. Step 6: Final answer
    x = 3,816.30

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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.