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Finding the Fourth Proportional to 4,271.43, 6,407.60 and 1,806.50

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Solution

The fourth proportional to 4,271.43, 6,407.60 and 1,806.50 is: 2,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.43 : 6,407.60 = 1,806.50 : x
  2. Step 2: Convert to fraction form
    4,271.43/6,407.60 = 1,806.50/x
  3. Step 3: Cross multiply
    4,271.43x = 6,407.60 × 1,806.50
  4. Step 4: Simplify right side
    4,271.43x = 11,575,351.63
  5. Step 5: Solve for x
    x = 11,575,351.63/4,271.43
  6. Step 6: Final answer
    x = 2,709.95

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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.