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Finding the Fourth Proportional to 5,664.22, 7,814.44 and 4,175.67

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Solution

The fourth proportional to 5,664.22, 7,814.44 and 4,175.67 is: 5,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.22 : 7,814.44 = 4,175.67 : x
  2. Step 2: Convert to fraction form
    5,664.22/7,814.44 = 4,175.67/x
  3. Step 3: Cross multiply
    5,664.22x = 7,814.44 × 4,175.67
  4. Step 4: Simplify right side
    5,664.22x = 32,630,522.67
  5. Step 5: Solve for x
    x = 32,630,522.67/5,664.22
  6. Step 6: Final answer
    x = 5,760.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.