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Finding the Fourth Proportional to 5,495.41, 8,238.18 and 1,982.98

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Solution

The fourth proportional to 5,495.41, 8,238.18 and 1,982.98 is: 2,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.41 : 8,238.18 = 1,982.98 : x
  2. Step 2: Convert to fraction form
    5,495.41/8,238.18 = 1,982.98/x
  3. Step 3: Cross multiply
    5,495.41x = 8,238.18 × 1,982.98
  4. Step 4: Simplify right side
    5,495.41x = 16,336,146.18
  5. Step 5: Solve for x
    x = 16,336,146.18/5,495.41
  6. Step 6: Final answer
    x = 2,972.69

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1.5x scale

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.