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Finding the Fourth Proportional to 3,770.96, 5,200.20 and 2,373.20

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Solution

The fourth proportional to 3,770.96, 5,200.20 and 2,373.20 is: 3,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.96 : 5,200.20 = 2,373.20 : x
  2. Step 2: Convert to fraction form
    3,770.96/5,200.20 = 2,373.20/x
  3. Step 3: Cross multiply
    3,770.96x = 5,200.20 × 2,373.20
  4. Step 4: Simplify right side
    3,770.96x = 12,341,114.64
  5. Step 5: Solve for x
    x = 12,341,114.64/3,770.96
  6. Step 6: Final answer
    x = 3,272.67

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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.