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Finding the Fourth Proportional to 3,383.50, 5,075.89 and 1,534.76

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Solution

The fourth proportional to 3,383.50, 5,075.89 and 1,534.76 is: 2,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.50 : 5,075.89 = 1,534.76 : x
  2. Step 2: Convert to fraction form
    3,383.50/5,075.89 = 1,534.76/x
  3. Step 3: Cross multiply
    3,383.50x = 5,075.89 × 1,534.76
  4. Step 4: Simplify right side
    3,383.50x = 7,790,260.26
  5. Step 5: Solve for x
    x = 7,790,260.26/3,383.50
  6. Step 6: Final answer
    x = 2,302.43

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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.