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Finding the Fourth Proportional to 3,741.71, 5,163.14 and 2,169.50

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Solution

The fourth proportional to 3,741.71, 5,163.14 and 2,169.50 is: 2,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.71 : 5,163.14 = 2,169.50 : x
  2. Step 2: Convert to fraction form
    3,741.71/5,163.14 = 2,169.50/x
  3. Step 3: Cross multiply
    3,741.71x = 5,163.14 × 2,169.50
  4. Step 4: Simplify right side
    3,741.71x = 11,201,411.84
  5. Step 5: Solve for x
    x = 11,201,411.84/3,741.71
  6. Step 6: Final answer
    x = 2,993.67

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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.