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Finding the Fourth Proportional to 5,914.36, 8,162.22 and 3,430.36

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Solution

The fourth proportional to 5,914.36, 8,162.22 and 3,430.36 is: 4,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.36 : 8,162.22 = 3,430.36 : x
  2. Step 2: Convert to fraction form
    5,914.36/8,162.22 = 3,430.36/x
  3. Step 3: Cross multiply
    5,914.36x = 8,162.22 × 3,430.36
  4. Step 4: Simplify right side
    5,914.36x = 27,999,353.00
  5. Step 5: Solve for x
    x = 27,999,353.00/5,914.36
  6. Step 6: Final answer
    x = 4,734.13

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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.