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Finding the Fourth Proportional to 4,095.60, 5,647.46 and 2,767.00

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Solution

The fourth proportional to 4,095.60, 5,647.46 and 2,767.00 is: 3,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.60 : 5,647.46 = 2,767.00 : x
  2. Step 2: Convert to fraction form
    4,095.60/5,647.46 = 2,767.00/x
  3. Step 3: Cross multiply
    4,095.60x = 5,647.46 × 2,767.00
  4. Step 4: Simplify right side
    4,095.60x = 15,626,514.62
  5. Step 5: Solve for x
    x = 15,626,514.62/4,095.60
  6. Step 6: Final answer
    x = 3,815.44

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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.