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Finding the Fourth Proportional to 3,626.32, 5,440.38 and 1,029.25

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Solution

The fourth proportional to 3,626.32, 5,440.38 and 1,029.25 is: 1,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.32 : 5,440.38 = 1,029.25 : x
  2. Step 2: Convert to fraction form
    3,626.32/5,440.38 = 1,029.25/x
  3. Step 3: Cross multiply
    3,626.32x = 5,440.38 × 1,029.25
  4. Step 4: Simplify right side
    3,626.32x = 5,599,511.12
  5. Step 5: Solve for x
    x = 5,599,511.12/3,626.32
  6. Step 6: Final answer
    x = 1,544.13

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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.