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Finding the Fourth Proportional to 7,379.84, 11,074.62 and 3,484.64

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Solution

The fourth proportional to 7,379.84, 11,074.62 and 3,484.64 is: 5,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,379.84 : 11,074.62 = 3,484.64 : x
  2. Step 2: Convert to fraction form
    7,379.84/11,074.62 = 3,484.64/x
  3. Step 3: Cross multiply
    7,379.84x = 11,074.62 × 3,484.64
  4. Step 4: Simplify right side
    7,379.84x = 38,591,063.84
  5. Step 5: Solve for x
    x = 38,591,063.84/7,379.84
  6. Step 6: Final answer
    x = 5,229.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.