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Finding the Fourth Proportional to 3,914.89, 5,404.63 and 2,662.63

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Solution

The fourth proportional to 3,914.89, 5,404.63 and 2,662.63 is: 3,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.89 : 5,404.63 = 2,662.63 : x
  2. Step 2: Convert to fraction form
    3,914.89/5,404.63 = 2,662.63/x
  3. Step 3: Cross multiply
    3,914.89x = 5,404.63 × 2,662.63
  4. Step 4: Simplify right side
    3,914.89x = 14,390,509.81
  5. Step 5: Solve for x
    x = 14,390,509.81/3,914.89
  6. Step 6: Final answer
    x = 3,675.84

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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.