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Finding the Fourth Proportional to 3,881.26, 5,792.07 and 3,466.06

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Solution

The fourth proportional to 3,881.26, 5,792.07 and 3,466.06 is: 5,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.26 : 5,792.07 = 3,466.06 : x
  2. Step 2: Convert to fraction form
    3,881.26/5,792.07 = 3,466.06/x
  3. Step 3: Cross multiply
    3,881.26x = 5,792.07 × 3,466.06
  4. Step 4: Simplify right side
    3,881.26x = 20,075,662.14
  5. Step 5: Solve for x
    x = 20,075,662.14/3,881.26
  6. Step 6: Final answer
    x = 5,172.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.