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Finding the Fourth Proportional to 3,393, 5,091.42 and 1,569

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Solution

The fourth proportional to 3,393, 5,091.42 and 1,569 is: 2,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393 : 5,091.42 = 1,569 : x
  2. Step 2: Convert to fraction form
    3,393/5,091.42 = 1,569/x
  3. Step 3: Cross multiply
    3,393x = 5,091.42 × 1,569
  4. Step 4: Simplify right side
    3,393x = 7,988,437.98
  5. Step 5: Solve for x
    x = 7,988,437.98/3,393
  6. Step 6: Final answer
    x = 2,354.39

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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.