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Finding the Fourth Proportional to 3,410.34, 5,116.23 and 1,101.78

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Solution

The fourth proportional to 3,410.34, 5,116.23 and 1,101.78 is: 1,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.34 : 5,116.23 = 1,101.78 : x
  2. Step 2: Convert to fraction form
    3,410.34/5,116.23 = 1,101.78/x
  3. Step 3: Cross multiply
    3,410.34x = 5,116.23 × 1,101.78
  4. Step 4: Simplify right side
    3,410.34x = 5,636,959.89
  5. Step 5: Solve for x
    x = 5,636,959.89/3,410.34
  6. Step 6: Final answer
    x = 1,652.90

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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.