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Finding the Fourth Proportional to 3,139.88, 4,709.72 and 1,290.44

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Solution

The fourth proportional to 3,139.88, 4,709.72 and 1,290.44 is: 1,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.88 : 4,709.72 = 1,290.44 : x
  2. Step 2: Convert to fraction form
    3,139.88/4,709.72 = 1,290.44/x
  3. Step 3: Cross multiply
    3,139.88x = 4,709.72 × 1,290.44
  4. Step 4: Simplify right side
    3,139.88x = 6,077,611.08
  5. Step 5: Solve for x
    x = 6,077,611.08/3,139.88
  6. Step 6: Final answer
    x = 1,935.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.