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Finding the Fourth Proportional to 6,161.56, 8,502.86 and 3,677.08

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Solution

The fourth proportional to 6,161.56, 8,502.86 and 3,677.08 is: 5,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.56 : 8,502.86 = 3,677.08 : x
  2. Step 2: Convert to fraction form
    6,161.56/8,502.86 = 3,677.08/x
  3. Step 3: Cross multiply
    6,161.56x = 8,502.86 × 3,677.08
  4. Step 4: Simplify right side
    6,161.56x = 31,265,696.45
  5. Step 5: Solve for x
    x = 31,265,696.45/6,161.56
  6. Step 6: Final answer
    x = 5,074.32

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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.