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Finding the Fourth Proportional to 4,287.95, 5,917.31 and 2,399.50

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Solution

The fourth proportional to 4,287.95, 5,917.31 and 2,399.50 is: 3,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.95 : 5,917.31 = 2,399.50 : x
  2. Step 2: Convert to fraction form
    4,287.95/5,917.31 = 2,399.50/x
  3. Step 3: Cross multiply
    4,287.95x = 5,917.31 × 2,399.50
  4. Step 4: Simplify right side
    4,287.95x = 14,198,567.55
  5. Step 5: Solve for x
    x = 14,198,567.55/4,287.95
  6. Step 6: Final answer
    x = 3,311.28

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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.