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Finding the Fourth Proportional to 3,137.94, 4,708.44 and 1,289.61

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Solution

The fourth proportional to 3,137.94, 4,708.44 and 1,289.61 is: 1,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.94 : 4,708.44 = 1,289.61 : x
  2. Step 2: Convert to fraction form
    3,137.94/4,708.44 = 1,289.61/x
  3. Step 3: Cross multiply
    3,137.94x = 4,708.44 × 1,289.61
  4. Step 4: Simplify right side
    3,137.94x = 6,072,051.31
  5. Step 5: Solve for x
    x = 6,072,051.31/3,137.94
  6. Step 6: Final answer
    x = 1,935.04

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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.