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Finding the Fourth Proportional to 3,622.26, 5,434.26 and 1,025.13

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Solution

The fourth proportional to 3,622.26, 5,434.26 and 1,025.13 is: 1,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.26 : 5,434.26 = 1,025.13 : x
  2. Step 2: Convert to fraction form
    3,622.26/5,434.26 = 1,025.13/x
  3. Step 3: Cross multiply
    3,622.26x = 5,434.26 × 1,025.13
  4. Step 4: Simplify right side
    3,622.26x = 5,570,822.95
  5. Step 5: Solve for x
    x = 5,570,822.95/3,622.26
  6. Step 6: Final answer
    x = 1,537.94

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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.