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Finding the Fourth Proportional to 5,743.98, 8,616.02 and 1,584.22

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Solution

The fourth proportional to 5,743.98, 8,616.02 and 1,584.22 is: 2,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.98 : 8,616.02 = 1,584.22 : x
  2. Step 2: Convert to fraction form
    5,743.98/8,616.02 = 1,584.22/x
  3. Step 3: Cross multiply
    5,743.98x = 8,616.02 × 1,584.22
  4. Step 4: Simplify right side
    5,743.98x = 13,649,671.20
  5. Step 5: Solve for x
    x = 13,649,671.20/5,743.98
  6. Step 6: Final answer
    x = 2,376.34

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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.