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Finding the Fourth Proportional to 5,793.22, 8,689.38 and 1,633.06

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Solution

The fourth proportional to 5,793.22, 8,689.38 and 1,633.06 is: 2,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.22 : 8,689.38 = 1,633.06 : x
  2. Step 2: Convert to fraction form
    5,793.22/8,689.38 = 1,633.06/x
  3. Step 3: Cross multiply
    5,793.22x = 8,689.38 × 1,633.06
  4. Step 4: Simplify right side
    5,793.22x = 14,190,283.64
  5. Step 5: Solve for x
    x = 14,190,283.64/5,793.22
  6. Step 6: Final answer
    x = 2,449.46

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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.