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Finding the Fourth Proportional to 4,288.77, 6,434.10 and 1,327.23

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Solution

The fourth proportional to 4,288.77, 6,434.10 and 1,327.23 is: 1,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.77 : 6,434.10 = 1,327.23 : x
  2. Step 2: Convert to fraction form
    4,288.77/6,434.10 = 1,327.23/x
  3. Step 3: Cross multiply
    4,288.77x = 6,434.10 × 1,327.23
  4. Step 4: Simplify right side
    4,288.77x = 8,539,530.54
  5. Step 5: Solve for x
    x = 8,539,530.54/4,288.77
  6. Step 6: Final answer
    x = 1,991.14

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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.