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Finding the Fourth Proportional to 5,309.87, 7,964.76 and 1,361.12

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Solution

The fourth proportional to 5,309.87, 7,964.76 and 1,361.12 is: 2,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.87 : 7,964.76 = 1,361.12 : x
  2. Step 2: Convert to fraction form
    5,309.87/7,964.76 = 1,361.12/x
  3. Step 3: Cross multiply
    5,309.87x = 7,964.76 × 1,361.12
  4. Step 4: Simplify right side
    5,309.87x = 10,840,994.13
  5. Step 5: Solve for x
    x = 10,840,994.13/5,309.87
  6. Step 6: Final answer
    x = 2,041.67

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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.