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Finding the Fourth Proportional to 4,109.01, 6,152.99 and 2,857.83

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Solution

The fourth proportional to 4,109.01, 6,152.99 and 2,857.83 is: 4,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.01 : 6,152.99 = 2,857.83 : x
  2. Step 2: Convert to fraction form
    4,109.01/6,152.99 = 2,857.83/x
  3. Step 3: Cross multiply
    4,109.01x = 6,152.99 × 2,857.83
  4. Step 4: Simplify right side
    4,109.01x = 17,584,185.12
  5. Step 5: Solve for x
    x = 17,584,185.12/4,109.01
  6. Step 6: Final answer
    x = 4,279.42

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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.