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Finding the Fourth Proportional to 3,618.40, 5,427.06 and 1,021

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Solution

The fourth proportional to 3,618.40, 5,427.06 and 1,021 is: 1,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.40 : 5,427.06 = 1,021 : x
  2. Step 2: Convert to fraction form
    3,618.40/5,427.06 = 1,021/x
  3. Step 3: Cross multiply
    3,618.40x = 5,427.06 × 1,021
  4. Step 4: Simplify right side
    3,618.40x = 5,541,028.26
  5. Step 5: Solve for x
    x = 5,541,028.26/3,618.40
  6. Step 6: Final answer
    x = 1,531.35

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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.