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Finding the Fourth Proportional to 5,823.12, 8,735.22 and 1,873.44

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Solution

The fourth proportional to 5,823.12, 8,735.22 and 1,873.44 is: 2,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.12 : 8,735.22 = 1,873.44 : x
  2. Step 2: Convert to fraction form
    5,823.12/8,735.22 = 1,873.44/x
  3. Step 3: Cross multiply
    5,823.12x = 8,735.22 × 1,873.44
  4. Step 4: Simplify right side
    5,823.12x = 16,364,910.56
  5. Step 5: Solve for x
    x = 16,364,910.56/5,823.12
  6. Step 6: Final answer
    x = 2,810.33

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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.