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Finding the Fourth Proportional to 5,331.56, 7,980.94 and 3,478.69

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Solution

The fourth proportional to 5,331.56, 7,980.94 and 3,478.69 is: 5,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,331.56 : 7,980.94 = 3,478.69 : x
  2. Step 2: Convert to fraction form
    5,331.56/7,980.94 = 3,478.69/x
  3. Step 3: Cross multiply
    5,331.56x = 7,980.94 × 3,478.69
  4. Step 4: Simplify right side
    5,331.56x = 27,763,184.07
  5. Step 5: Solve for x
    x = 27,763,184.07/5,331.56
  6. Step 6: Final answer
    x = 5,207.33

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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.