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Finding the Fourth Proportional to 5,734.44, 8,607.06 and 2,814.84

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Solution

The fourth proportional to 5,734.44, 8,607.06 and 2,814.84 is: 4,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.44 : 8,607.06 = 2,814.84 : x
  2. Step 2: Convert to fraction form
    5,734.44/8,607.06 = 2,814.84/x
  3. Step 3: Cross multiply
    5,734.44x = 8,607.06 × 2,814.84
  4. Step 4: Simplify right side
    5,734.44x = 24,227,496.77
  5. Step 5: Solve for x
    x = 24,227,496.77/5,734.44
  6. Step 6: Final answer
    x = 4,224.91

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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.