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Finding the Fourth Proportional to 3,478.23, 5,192.04 and 3,221.26

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Solution

The fourth proportional to 3,478.23, 5,192.04 and 3,221.26 is: 4,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.23 : 5,192.04 = 3,221.26 : x
  2. Step 2: Convert to fraction form
    3,478.23/5,192.04 = 3,221.26/x
  3. Step 3: Cross multiply
    3,478.23x = 5,192.04 × 3,221.26
  4. Step 4: Simplify right side
    3,478.23x = 16,724,897.79
  5. Step 5: Solve for x
    x = 16,724,897.79/3,478.23
  6. Step 6: Final answer
    x = 4,808.45

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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.