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Finding the Fourth Proportional to 3,576.42, 5,364.18 and 1,383.65

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Solution

The fourth proportional to 3,576.42, 5,364.18 and 1,383.65 is: 2,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.42 : 5,364.18 = 1,383.65 : x
  2. Step 2: Convert to fraction form
    3,576.42/5,364.18 = 1,383.65/x
  3. Step 3: Cross multiply
    3,576.42x = 5,364.18 × 1,383.65
  4. Step 4: Simplify right side
    3,576.42x = 7,422,161.07
  5. Step 5: Solve for x
    x = 7,422,161.07/3,576.42
  6. Step 6: Final answer
    x = 2,075.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.