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Finding the Fourth Proportional to 4,287.77, 5,917.69 and 2,399.46

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Solution

The fourth proportional to 4,287.77, 5,917.69 and 2,399.46 is: 3,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.77 : 5,917.69 = 2,399.46 : x
  2. Step 2: Convert to fraction form
    4,287.77/5,917.69 = 2,399.46/x
  3. Step 3: Cross multiply
    4,287.77x = 5,917.69 × 2,399.46
  4. Step 4: Simplify right side
    4,287.77x = 14,199,241.26
  5. Step 5: Solve for x
    x = 14,199,241.26/4,287.77
  6. Step 6: Final answer
    x = 3,311.57

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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.