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Finding the Fourth Proportional to 3,380.88, 5,071.28 and 2,802.54

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Solution

The fourth proportional to 3,380.88, 5,071.28 and 2,802.54 is: 4,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.88 : 5,071.28 = 2,802.54 : x
  2. Step 2: Convert to fraction form
    3,380.88/5,071.28 = 2,802.54/x
  3. Step 3: Cross multiply
    3,380.88x = 5,071.28 × 2,802.54
  4. Step 4: Simplify right side
    3,380.88x = 14,212,451.04
  5. Step 5: Solve for x
    x = 14,212,451.04/3,380.88
  6. Step 6: Final answer
    x = 4,203.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.