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Finding the Fourth Proportional to 3,365.75, 4,646.91 and 2,188.55

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Solution

The fourth proportional to 3,365.75, 4,646.91 and 2,188.55 is: 3,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.75 : 4,646.91 = 2,188.55 : x
  2. Step 2: Convert to fraction form
    3,365.75/4,646.91 = 2,188.55/x
  3. Step 3: Cross multiply
    3,365.75x = 4,646.91 × 2,188.55
  4. Step 4: Simplify right side
    3,365.75x = 10,169,994.88
  5. Step 5: Solve for x
    x = 10,169,994.88/3,365.75
  6. Step 6: Final answer
    x = 3,021.61

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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.