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Finding the Fourth Proportional to 5,392.98, 8,086.76 and 1,644.06

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Solution

The fourth proportional to 5,392.98, 8,086.76 and 1,644.06 is: 2,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.98 : 8,086.76 = 1,644.06 : x
  2. Step 2: Convert to fraction form
    5,392.98/8,086.76 = 1,644.06/x
  3. Step 3: Cross multiply
    5,392.98x = 8,086.76 × 1,644.06
  4. Step 4: Simplify right side
    5,392.98x = 13,295,118.65
  5. Step 5: Solve for x
    x = 13,295,118.65/5,392.98
  6. Step 6: Final answer
    x = 2,465.26

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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.