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Finding the Fourth Proportional to 3,741.24, 5,615.64 and 3,373.50

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Solution

The fourth proportional to 3,741.24, 5,615.64 and 3,373.50 is: 5,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.24 : 5,615.64 = 3,373.50 : x
  2. Step 2: Convert to fraction form
    3,741.24/5,615.64 = 3,373.50/x
  3. Step 3: Cross multiply
    3,741.24x = 5,615.64 × 3,373.50
  4. Step 4: Simplify right side
    3,741.24x = 18,944,361.54
  5. Step 5: Solve for x
    x = 18,944,361.54/3,741.24
  6. Step 6: Final answer
    x = 5,063.66

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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.