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Finding the Fourth Proportional to 5,584.29, 7,706.28 and 3,066.44

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Solution

The fourth proportional to 5,584.29, 7,706.28 and 3,066.44 is: 4,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.29 : 7,706.28 = 3,066.44 : x
  2. Step 2: Convert to fraction form
    5,584.29/7,706.28 = 3,066.44/x
  3. Step 3: Cross multiply
    5,584.29x = 7,706.28 × 3,066.44
  4. Step 4: Simplify right side
    5,584.29x = 23,630,845.24
  5. Step 5: Solve for x
    x = 23,630,845.24/5,584.29
  6. Step 6: Final answer
    x = 4,231.67

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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.