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Finding the Fourth Proportional to 3,907.86, 5,857.26 and 2,263.74

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Solution

The fourth proportional to 3,907.86, 5,857.26 and 2,263.74 is: 3,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.86 : 5,857.26 = 2,263.74 : x
  2. Step 2: Convert to fraction form
    3,907.86/5,857.26 = 2,263.74/x
  3. Step 3: Cross multiply
    3,907.86x = 5,857.26 × 2,263.74
  4. Step 4: Simplify right side
    3,907.86x = 13,259,313.75
  5. Step 5: Solve for x
    x = 13,259,313.75/3,907.86
  6. Step 6: Final answer
    x = 3,392.99

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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.