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Finding the Fourth Proportional to 5,090.44, 7,635.90 and 1,627.72

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Solution

The fourth proportional to 5,090.44, 7,635.90 and 1,627.72 is: 2,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.44 : 7,635.90 = 1,627.72 : x
  2. Step 2: Convert to fraction form
    5,090.44/7,635.90 = 1,627.72/x
  3. Step 3: Cross multiply
    5,090.44x = 7,635.90 × 1,627.72
  4. Step 4: Simplify right side
    5,090.44x = 12,429,107.15
  5. Step 5: Solve for x
    x = 12,429,107.15/5,090.44
  6. Step 6: Final answer
    x = 2,441.66

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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.