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Finding the Fourth Proportional to 3,533.98, 5,269.74 and 3,502.31

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Solution

The fourth proportional to 3,533.98, 5,269.74 and 3,502.31 is: 5,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.98 : 5,269.74 = 3,502.31 : x
  2. Step 2: Convert to fraction form
    3,533.98/5,269.74 = 3,502.31/x
  3. Step 3: Cross multiply
    3,533.98x = 5,269.74 × 3,502.31
  4. Step 4: Simplify right side
    3,533.98x = 18,456,243.32
  5. Step 5: Solve for x
    x = 18,456,243.32/3,533.98
  6. Step 6: Final answer
    x = 5,222.51

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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.