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Finding the Fourth Proportional to 4,095.62, 5,647.46 and 2,767.01

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Solution

The fourth proportional to 4,095.62, 5,647.46 and 2,767.01 is: 3,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.62 : 5,647.46 = 2,767.01 : x
  2. Step 2: Convert to fraction form
    4,095.62/5,647.46 = 2,767.01/x
  3. Step 3: Cross multiply
    4,095.62x = 5,647.46 × 2,767.01
  4. Step 4: Simplify right side
    4,095.62x = 15,626,536.22
  5. Step 5: Solve for x
    x = 15,626,536.22/4,095.62
  6. Step 6: Final answer
    x = 3,815.43

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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.