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Finding the Fourth Proportional to 3,758.85, 5,636.54 and 2,003.42

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Solution

The fourth proportional to 3,758.85, 5,636.54 and 2,003.42 is: 3,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.85 : 5,636.54 = 2,003.42 : x
  2. Step 2: Convert to fraction form
    3,758.85/5,636.54 = 2,003.42/x
  3. Step 3: Cross multiply
    3,758.85x = 5,636.54 × 2,003.42
  4. Step 4: Simplify right side
    3,758.85x = 11,292,318.77
  5. Step 5: Solve for x
    x = 11,292,318.77/3,758.85
  6. Step 6: Final answer
    x = 3,004.20

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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.