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Finding the Fourth Proportional to 3,604.37, 5,407 and 1,138.83

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Solution

The fourth proportional to 3,604.37, 5,407 and 1,138.83 is: 1,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.37 : 5,407 = 1,138.83 : x
  2. Step 2: Convert to fraction form
    3,604.37/5,407 = 1,138.83/x
  3. Step 3: Cross multiply
    3,604.37x = 5,407 × 1,138.83
  4. Step 4: Simplify right side
    3,604.37x = 6,157,653.81
  5. Step 5: Solve for x
    x = 6,157,653.81/3,604.37
  6. Step 6: Final answer
    x = 1,708.39

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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.