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Finding the Fourth Proportional to 5,969.87, 8,941.16 and 2,852.06

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Solution

The fourth proportional to 5,969.87, 8,941.16 and 2,852.06 is: 4,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.87 : 8,941.16 = 2,852.06 : x
  2. Step 2: Convert to fraction form
    5,969.87/8,941.16 = 2,852.06/x
  3. Step 3: Cross multiply
    5,969.87x = 8,941.16 × 2,852.06
  4. Step 4: Simplify right side
    5,969.87x = 25,500,665.82
  5. Step 5: Solve for x
    x = 25,500,665.82/5,969.87
  6. Step 6: Final answer
    x = 4,271.56

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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.