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Finding the Fourth Proportional to 3,626.87, 5,440.32 and 1,029.83

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Solution

The fourth proportional to 3,626.87, 5,440.32 and 1,029.83 is: 1,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.87 : 5,440.32 = 1,029.83 : x
  2. Step 2: Convert to fraction form
    3,626.87/5,440.32 = 1,029.83/x
  3. Step 3: Cross multiply
    3,626.87x = 5,440.32 × 1,029.83
  4. Step 4: Simplify right side
    3,626.87x = 5,602,577.54
  5. Step 5: Solve for x
    x = 5,602,577.54/3,626.87
  6. Step 6: Final answer
    x = 1,544.74

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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.