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Finding the Fourth Proportional to 5,489.36, 8,224.44 and 4,570.80

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Solution

The fourth proportional to 5,489.36, 8,224.44 and 4,570.80 is: 6,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.36 : 8,224.44 = 4,570.80 : x
  2. Step 2: Convert to fraction form
    5,489.36/8,224.44 = 4,570.80/x
  3. Step 3: Cross multiply
    5,489.36x = 8,224.44 × 4,570.80
  4. Step 4: Simplify right side
    5,489.36x = 37,592,270.35
  5. Step 5: Solve for x
    x = 37,592,270.35/5,489.36
  6. Step 6: Final answer
    x = 6,848.21

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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.