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Finding the Fourth Proportional to 4,090.62, 5,641.44 and 2,764.20

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Solution

The fourth proportional to 4,090.62, 5,641.44 and 2,764.20 is: 3,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.62 : 5,641.44 = 2,764.20 : x
  2. Step 2: Convert to fraction form
    4,090.62/5,641.44 = 2,764.20/x
  3. Step 3: Cross multiply
    4,090.62x = 5,641.44 × 2,764.20
  4. Step 4: Simplify right side
    4,090.62x = 15,594,068.45
  5. Step 5: Solve for x
    x = 15,594,068.45/4,090.62
  6. Step 6: Final answer
    x = 3,812.15

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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.