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Finding the Fourth Proportional to 3,759.77, 5,188.86 and 2,166.47

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Solution

The fourth proportional to 3,759.77, 5,188.86 and 2,166.47 is: 2,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.77 : 5,188.86 = 2,166.47 : x
  2. Step 2: Convert to fraction form
    3,759.77/5,188.86 = 2,166.47/x
  3. Step 3: Cross multiply
    3,759.77x = 5,188.86 × 2,166.47
  4. Step 4: Simplify right side
    3,759.77x = 11,241,522.50
  5. Step 5: Solve for x
    x = 11,241,522.50/3,759.77
  6. Step 6: Final answer
    x = 2,989.95

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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.