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Finding the Fourth Proportional to 4,452.97, 6,684.63 and 2,605.41

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Solution

The fourth proportional to 4,452.97, 6,684.63 and 2,605.41 is: 3,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.97 : 6,684.63 = 2,605.41 : x
  2. Step 2: Convert to fraction form
    4,452.97/6,684.63 = 2,605.41/x
  3. Step 3: Cross multiply
    4,452.97x = 6,684.63 × 2,605.41
  4. Step 4: Simplify right side
    4,452.97x = 17,416,203.07
  5. Step 5: Solve for x
    x = 17,416,203.07/4,452.97
  6. Step 6: Final answer
    x = 3,911.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.