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Finding the Fourth Proportional to 3,969.41, 5,465.31 and 3,370.64

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Solution

The fourth proportional to 3,969.41, 5,465.31 and 3,370.64 is: 4,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.41 : 5,465.31 = 3,370.64 : x
  2. Step 2: Convert to fraction form
    3,969.41/5,465.31 = 3,370.64/x
  3. Step 3: Cross multiply
    3,969.41x = 5,465.31 × 3,370.64
  4. Step 4: Simplify right side
    3,969.41x = 18,421,592.50
  5. Step 5: Solve for x
    x = 18,421,592.50/3,969.41
  6. Step 6: Final answer
    x = 4,640.89

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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.