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Finding the Fourth Proportional to 3,771.50, 5,659.23 and 2,740.03

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Solution

The fourth proportional to 3,771.50, 5,659.23 and 2,740.03 is: 4,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.50 : 5,659.23 = 2,740.03 : x
  2. Step 2: Convert to fraction form
    3,771.50/5,659.23 = 2,740.03/x
  3. Step 3: Cross multiply
    3,771.50x = 5,659.23 × 2,740.03
  4. Step 4: Simplify right side
    3,771.50x = 15,506,459.98
  5. Step 5: Solve for x
    x = 15,506,459.98/3,771.50
  6. Step 6: Final answer
    x = 4,111.48

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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.