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Finding the Fourth Proportional to 3,866.96, 5,336.37 and 2,188.37

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Solution

The fourth proportional to 3,866.96, 5,336.37 and 2,188.37 is: 3,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.96 : 5,336.37 = 2,188.37 : x
  2. Step 2: Convert to fraction form
    3,866.96/5,336.37 = 2,188.37/x
  3. Step 3: Cross multiply
    3,866.96x = 5,336.37 × 2,188.37
  4. Step 4: Simplify right side
    3,866.96x = 11,677,925.34
  5. Step 5: Solve for x
    x = 11,677,925.34/3,866.96
  6. Step 6: Final answer
    x = 3,019.93

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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.