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Finding the Fourth Proportional to 5,482.23, 8,224.03 and 1,783.47

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Solution

The fourth proportional to 5,482.23, 8,224.03 and 1,783.47 is: 2,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.23 : 8,224.03 = 1,783.47 : x
  2. Step 2: Convert to fraction form
    5,482.23/8,224.03 = 1,783.47/x
  3. Step 3: Cross multiply
    5,482.23x = 8,224.03 × 1,783.47
  4. Step 4: Simplify right side
    5,482.23x = 14,667,297.59
  5. Step 5: Solve for x
    x = 14,667,297.59/5,482.23
  6. Step 6: Final answer
    x = 2,675.42

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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.