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Finding the Fourth Proportional to 4,809.44, 7,215.44 and 2,036.23

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Solution

The fourth proportional to 4,809.44, 7,215.44 and 2,036.23 is: 3,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.44 : 7,215.44 = 2,036.23 : x
  2. Step 2: Convert to fraction form
    4,809.44/7,215.44 = 2,036.23/x
  3. Step 3: Cross multiply
    4,809.44x = 7,215.44 × 2,036.23
  4. Step 4: Simplify right side
    4,809.44x = 14,692,295.39
  5. Step 5: Solve for x
    x = 14,692,295.39/4,809.44
  6. Step 6: Final answer
    x = 3,054.89

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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.