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Finding the Fourth Proportional to 6,159.87, 9,241.95 and 3,383.01

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Solution

The fourth proportional to 6,159.87, 9,241.95 and 3,383.01 is: 5,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.87 : 9,241.95 = 3,383.01 : x
  2. Step 2: Convert to fraction form
    6,159.87/9,241.95 = 3,383.01/x
  3. Step 3: Cross multiply
    6,159.87x = 9,241.95 × 3,383.01
  4. Step 4: Simplify right side
    6,159.87x = 31,265,609.27
  5. Step 5: Solve for x
    x = 31,265,609.27/6,159.87
  6. Step 6: Final answer
    x = 5,075.69

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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.