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Finding the Fourth Proportional to 3,800.34, 5,697.32 and 1,336.77

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Solution

The fourth proportional to 3,800.34, 5,697.32 and 1,336.77 is: 2,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.34 : 5,697.32 = 1,336.77 : x
  2. Step 2: Convert to fraction form
    3,800.34/5,697.32 = 1,336.77/x
  3. Step 3: Cross multiply
    3,800.34x = 5,697.32 × 1,336.77
  4. Step 4: Simplify right side
    3,800.34x = 7,615,999.77
  5. Step 5: Solve for x
    x = 7,615,999.77/3,800.34
  6. Step 6: Final answer
    x = 2,004.03

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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.