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Finding the Fourth Proportional to 3,884.54, 5,802.80 and 3,493.92

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Solution

The fourth proportional to 3,884.54, 5,802.80 and 3,493.92 is: 5,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.54 : 5,802.80 = 3,493.92 : x
  2. Step 2: Convert to fraction form
    3,884.54/5,802.80 = 3,493.92/x
  3. Step 3: Cross multiply
    3,884.54x = 5,802.80 × 3,493.92
  4. Step 4: Simplify right side
    3,884.54x = 20,274,518.98
  5. Step 5: Solve for x
    x = 20,274,518.98/3,884.54
  6. Step 6: Final answer
    x = 5,219.28

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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.