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Finding the Fourth Proportional to 3,691, 5,537.58 and 1,094.01

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Solution

The fourth proportional to 3,691, 5,537.58 and 1,094.01 is: 1,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691 : 5,537.58 = 1,094.01 : x
  2. Step 2: Convert to fraction form
    3,691/5,537.58 = 1,094.01/x
  3. Step 3: Cross multiply
    3,691x = 5,537.58 × 1,094.01
  4. Step 4: Simplify right side
    3,691x = 6,058,167.90
  5. Step 5: Solve for x
    x = 6,058,167.90/3,691
  6. Step 6: Final answer
    x = 1,641.34

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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.