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Finding the Fourth Proportional to 3,681.56, 5,522.28 and 908.25

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Solution

The fourth proportional to 3,681.56, 5,522.28 and 908.25 is: 1,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.56 : 5,522.28 = 908.25 : x
  2. Step 2: Convert to fraction form
    3,681.56/5,522.28 = 908.25/x
  3. Step 3: Cross multiply
    3,681.56x = 5,522.28 × 908.25
  4. Step 4: Simplify right side
    3,681.56x = 5,015,610.81
  5. Step 5: Solve for x
    x = 5,015,610.81/3,681.56
  6. Step 6: Final answer
    x = 1,362.36

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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.