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Finding the Fourth Proportional to 6,319.50, 9,484.89 and 3,319.98

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Solution

The fourth proportional to 6,319.50, 9,484.89 and 3,319.98 is: 4,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.50 : 9,484.89 = 3,319.98 : x
  2. Step 2: Convert to fraction form
    6,319.50/9,484.89 = 3,319.98/x
  3. Step 3: Cross multiply
    6,319.50x = 9,484.89 × 3,319.98
  4. Step 4: Simplify right side
    6,319.50x = 31,489,645.10
  5. Step 5: Solve for x
    x = 31,489,645.10/6,319.50
  6. Step 6: Final answer
    x = 4,982.93

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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.