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Finding the Fourth Proportional to 5,480.74, 8,213.29 and 4,242.34

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Solution

The fourth proportional to 5,480.74, 8,213.29 and 4,242.34 is: 6,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.74 : 8,213.29 = 4,242.34 : x
  2. Step 2: Convert to fraction form
    5,480.74/8,213.29 = 4,242.34/x
  3. Step 3: Cross multiply
    5,480.74x = 8,213.29 × 4,242.34
  4. Step 4: Simplify right side
    5,480.74x = 34,843,568.70
  5. Step 5: Solve for x
    x = 34,843,568.70/5,480.74
  6. Step 6: Final answer
    x = 6,357.46

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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.