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Finding the Fourth Proportional to 3,517, 5,266.58 and 2,110.54

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Solution

The fourth proportional to 3,517, 5,266.58 and 2,110.54 is: 3,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517 : 5,266.58 = 2,110.54 : x
  2. Step 2: Convert to fraction form
    3,517/5,266.58 = 2,110.54/x
  3. Step 3: Cross multiply
    3,517x = 5,266.58 × 2,110.54
  4. Step 4: Simplify right side
    3,517x = 11,115,327.75
  5. Step 5: Solve for x
    x = 11,115,327.75/3,517
  6. Step 6: Final answer
    x = 3,160.46

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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.