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Finding the Fourth Proportional to 5,832.53, 8,746.22 and 2,133.80

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Solution

The fourth proportional to 5,832.53, 8,746.22 and 2,133.80 is: 3,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.53 : 8,746.22 = 2,133.80 : x
  2. Step 2: Convert to fraction form
    5,832.53/8,746.22 = 2,133.80/x
  3. Step 3: Cross multiply
    5,832.53x = 8,746.22 × 2,133.80
  4. Step 4: Simplify right side
    5,832.53x = 18,662,645.84
  5. Step 5: Solve for x
    x = 18,662,645.84/5,832.53
  6. Step 6: Final answer
    x = 3,199.75

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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.