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Finding the Fourth Proportional to 6,187.09, 8,537.70 and 3,669.00

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Solution

The fourth proportional to 6,187.09, 8,537.70 and 3,669.00 is: 5,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.09 : 8,537.70 = 3,669.00 : x
  2. Step 2: Convert to fraction form
    6,187.09/8,537.70 = 3,669.00/x
  3. Step 3: Cross multiply
    6,187.09x = 8,537.70 × 3,669.00
  4. Step 4: Simplify right side
    6,187.09x = 31,324,778.61
  5. Step 5: Solve for x
    x = 31,324,778.61/6,187.09
  6. Step 6: Final answer
    x = 5,062.93

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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.