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Finding the Fourth Proportional to 3,431.77, 5,113.94 and 3,224.00

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Solution

The fourth proportional to 3,431.77, 5,113.94 and 3,224.00 is: 4,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.77 : 5,113.94 = 3,224.00 : x
  2. Step 2: Convert to fraction form
    3,431.77/5,113.94 = 3,224.00/x
  3. Step 3: Cross multiply
    3,431.77x = 5,113.94 × 3,224.00
  4. Step 4: Simplify right side
    3,431.77x = 16,487,339.22
  5. Step 5: Solve for x
    x = 16,487,339.22/3,431.77
  6. Step 6: Final answer
    x = 4,804.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.