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Finding the Fourth Proportional to 3,027.09, 4,539.73 and 835.30

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Solution

The fourth proportional to 3,027.09, 4,539.73 and 835.30 is: 1,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.09 : 4,539.73 = 835.30 : x
  2. Step 2: Convert to fraction form
    3,027.09/4,539.73 = 835.30/x
  3. Step 3: Cross multiply
    3,027.09x = 4,539.73 × 835.30
  4. Step 4: Simplify right side
    3,027.09x = 3,792,036.47
  5. Step 5: Solve for x
    x = 3,792,036.47/3,027.09
  6. Step 6: Final answer
    x = 1,252.70

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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.