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Finding the Fourth Proportional to 5,444.94, 8,167.42 and 1,982.46

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Solution

The fourth proportional to 5,444.94, 8,167.42 and 1,982.46 is: 2,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.94 : 8,167.42 = 1,982.46 : x
  2. Step 2: Convert to fraction form
    5,444.94/8,167.42 = 1,982.46/x
  3. Step 3: Cross multiply
    5,444.94x = 8,167.42 × 1,982.46
  4. Step 4: Simplify right side
    5,444.94x = 16,191,583.45
  5. Step 5: Solve for x
    x = 16,191,583.45/5,444.94
  6. Step 6: Final answer
    x = 2,973.69

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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.