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Finding the Fourth Proportional to 3,409.09, 5,116.44 and 1,766.14

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Solution

The fourth proportional to 3,409.09, 5,116.44 and 1,766.14 is: 2,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.09 : 5,116.44 = 1,766.14 : x
  2. Step 2: Convert to fraction form
    3,409.09/5,116.44 = 1,766.14/x
  3. Step 3: Cross multiply
    3,409.09x = 5,116.44 × 1,766.14
  4. Step 4: Simplify right side
    3,409.09x = 9,036,349.34
  5. Step 5: Solve for x
    x = 9,036,349.34/3,409.09
  6. Step 6: Final answer
    x = 2,650.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.