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Finding the Fourth Proportional to 3,627.46, 5,440.53 and 1,652.63

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Solution

The fourth proportional to 3,627.46, 5,440.53 and 1,652.63 is: 2,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.46 : 5,440.53 = 1,652.63 : x
  2. Step 2: Convert to fraction form
    3,627.46/5,440.53 = 1,652.63/x
  3. Step 3: Cross multiply
    3,627.46x = 5,440.53 × 1,652.63
  4. Step 4: Simplify right side
    3,627.46x = 8,991,183.09
  5. Step 5: Solve for x
    x = 8,991,183.09/3,627.46
  6. Step 6: Final answer
    x = 2,478.64

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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.