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Finding the Fourth Proportional to 6,164.70, 8,505.18 and 3,647.58

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Solution

The fourth proportional to 6,164.70, 8,505.18 and 3,647.58 is: 5,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.70 : 8,505.18 = 3,647.58 : x
  2. Step 2: Convert to fraction form
    6,164.70/8,505.18 = 3,647.58/x
  3. Step 3: Cross multiply
    6,164.70x = 8,505.18 × 3,647.58
  4. Step 4: Simplify right side
    6,164.70x = 31,023,324.46
  5. Step 5: Solve for x
    x = 31,023,324.46/6,164.70
  6. Step 6: Final answer
    x = 5,032.41

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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.