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Finding the Fourth Proportional to 3,878.31, 5,346.74 and 3,484.22

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Solution

The fourth proportional to 3,878.31, 5,346.74 and 3,484.22 is: 4,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.31 : 5,346.74 = 3,484.22 : x
  2. Step 2: Convert to fraction form
    3,878.31/5,346.74 = 3,484.22/x
  3. Step 3: Cross multiply
    3,878.31x = 5,346.74 × 3,484.22
  4. Step 4: Simplify right side
    3,878.31x = 18,629,220.47
  5. Step 5: Solve for x
    x = 18,629,220.47/3,878.31
  6. Step 6: Final answer
    x = 4,803.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.