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Finding the Fourth Proportional to 4,104, 5,667.84 and 4,075.20

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Solution

The fourth proportional to 4,104, 5,667.84 and 4,075.20 is: 5,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104 : 5,667.84 = 4,075.20 : x
  2. Step 2: Convert to fraction form
    4,104/5,667.84 = 4,075.20/x
  3. Step 3: Cross multiply
    4,104x = 5,667.84 × 4,075.20
  4. Step 4: Simplify right side
    4,104x = 23,097,581.57
  5. Step 5: Solve for x
    x = 23,097,581.57/4,104
  6. Step 6: Final answer
    x = 5,628.07

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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.