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Finding the Fourth Proportional to 6,111.70, 8,434.17 and 3,593.84

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Solution

The fourth proportional to 6,111.70, 8,434.17 and 3,593.84 is: 4,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.70 : 8,434.17 = 3,593.84 : x
  2. Step 2: Convert to fraction form
    6,111.70/8,434.17 = 3,593.84/x
  3. Step 3: Cross multiply
    6,111.70x = 8,434.17 × 3,593.84
  4. Step 4: Simplify right side
    6,111.70x = 30,311,015.34
  5. Step 5: Solve for x
    x = 30,311,015.34/6,111.70
  6. Step 6: Final answer
    x = 4,959.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.