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Finding the Fourth Proportional to 3,137.63, 4,706.24 and 1,288.26

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Solution

The fourth proportional to 3,137.63, 4,706.24 and 1,288.26 is: 1,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.63 : 4,706.24 = 1,288.26 : x
  2. Step 2: Convert to fraction form
    3,137.63/4,706.24 = 1,288.26/x
  3. Step 3: Cross multiply
    3,137.63x = 4,706.24 × 1,288.26
  4. Step 4: Simplify right side
    3,137.63x = 6,062,854.30
  5. Step 5: Solve for x
    x = 6,062,854.30/3,137.63
  6. Step 6: Final answer
    x = 1,932.31

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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.