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Finding the Fourth Proportional to 3,446.94, 5,170.52 and 1,257.31

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Solution

The fourth proportional to 3,446.94, 5,170.52 and 1,257.31 is: 1,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.94 : 5,170.52 = 1,257.31 : x
  2. Step 2: Convert to fraction form
    3,446.94/5,170.52 = 1,257.31/x
  3. Step 3: Cross multiply
    3,446.94x = 5,170.52 × 1,257.31
  4. Step 4: Simplify right side
    3,446.94x = 6,500,946.50
  5. Step 5: Solve for x
    x = 6,500,946.50/3,446.94
  6. Step 6: Final answer
    x = 1,886.01

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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.