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Finding the Fourth Proportional to 6,208.14, 8,567.94 and 3,690.87

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Solution

The fourth proportional to 6,208.14, 8,567.94 and 3,690.87 is: 5,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.14 : 8,567.94 = 3,690.87 : x
  2. Step 2: Convert to fraction form
    6,208.14/8,567.94 = 3,690.87/x
  3. Step 3: Cross multiply
    6,208.14x = 8,567.94 × 3,690.87
  4. Step 4: Simplify right side
    6,208.14x = 31,623,152.71
  5. Step 5: Solve for x
    x = 31,623,152.71/6,208.14
  6. Step 6: Final answer
    x = 5,093.82

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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.