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Finding the Fourth Proportional to 3,410.67, 5,116.01 and 1,102.11

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Solution

The fourth proportional to 3,410.67, 5,116.01 and 1,102.11 is: 1,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.67 : 5,116.01 = 1,102.11 : x
  2. Step 2: Convert to fraction form
    3,410.67/5,116.01 = 1,102.11/x
  3. Step 3: Cross multiply
    3,410.67x = 5,116.01 × 1,102.11
  4. Step 4: Simplify right side
    3,410.67x = 5,638,400.27
  5. Step 5: Solve for x
    x = 5,638,400.27/3,410.67
  6. Step 6: Final answer
    x = 1,653.17

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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.