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Finding the Fourth Proportional to 3,478.41, 5,215.97 and 2,018.01

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Solution

The fourth proportional to 3,478.41, 5,215.97 and 2,018.01 is: 3,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.41 : 5,215.97 = 2,018.01 : x
  2. Step 2: Convert to fraction form
    3,478.41/5,215.97 = 2,018.01/x
  3. Step 3: Cross multiply
    3,478.41x = 5,215.97 × 2,018.01
  4. Step 4: Simplify right side
    3,478.41x = 10,525,869.53
  5. Step 5: Solve for x
    x = 10,525,869.53/3,478.41
  6. Step 6: Final answer
    x = 3,026.06

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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.