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Finding the Fourth Proportional to 3,138.63, 4,707.73 and 1,289.26

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Solution

The fourth proportional to 3,138.63, 4,707.73 and 1,289.26 is: 1,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.63 : 4,707.73 = 1,289.26 : x
  2. Step 2: Convert to fraction form
    3,138.63/4,707.73 = 1,289.26/x
  3. Step 3: Cross multiply
    3,138.63x = 4,707.73 × 1,289.26
  4. Step 4: Simplify right side
    3,138.63x = 6,069,487.98
  5. Step 5: Solve for x
    x = 6,069,487.98/3,138.63
  6. Step 6: Final answer
    x = 1,933.80

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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.