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Finding the Fourth Proportional to 6,187.66, 8,537.43 and 3,669.64

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Solution

The fourth proportional to 6,187.66, 8,537.43 and 3,669.64 is: 5,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.66 : 8,537.43 = 3,669.64 : x
  2. Step 2: Convert to fraction form
    6,187.66/8,537.43 = 3,669.64/x
  3. Step 3: Cross multiply
    6,187.66x = 8,537.43 × 3,669.64
  4. Step 4: Simplify right side
    6,187.66x = 31,329,294.63
  5. Step 5: Solve for x
    x = 31,329,294.63/6,187.66
  6. Step 6: Final answer
    x = 5,063.19

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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.