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Finding the Fourth Proportional to 4,327.13, 6,490.69 and 1,040.22

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Solution

The fourth proportional to 4,327.13, 6,490.69 and 1,040.22 is: 1,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.13 : 6,490.69 = 1,040.22 : x
  2. Step 2: Convert to fraction form
    4,327.13/6,490.69 = 1,040.22/x
  3. Step 3: Cross multiply
    4,327.13x = 6,490.69 × 1,040.22
  4. Step 4: Simplify right side
    4,327.13x = 6,751,742.95
  5. Step 5: Solve for x
    x = 6,751,742.95/4,327.13
  6. Step 6: Final answer
    x = 1,560.33

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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.