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Finding the Fourth Proportional to 6,181, 8,529.78 and 3,386.50

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Solution

The fourth proportional to 6,181, 8,529.78 and 3,386.50 is: 4,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181 : 8,529.78 = 3,386.50 : x
  2. Step 2: Convert to fraction form
    6,181/8,529.78 = 3,386.50/x
  3. Step 3: Cross multiply
    6,181x = 8,529.78 × 3,386.50
  4. Step 4: Simplify right side
    6,181x = 28,886,099.97
  5. Step 5: Solve for x
    x = 28,886,099.97/6,181
  6. Step 6: Final answer
    x = 4,673.37

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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.