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Finding the Fourth Proportional to 4,271.38, 6,407.94 and 1,638.78

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Solution

The fourth proportional to 4,271.38, 6,407.94 and 1,638.78 is: 2,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.38 : 6,407.94 = 1,638.78 : x
  2. Step 2: Convert to fraction form
    4,271.38/6,407.94 = 1,638.78/x
  3. Step 3: Cross multiply
    4,271.38x = 6,407.94 × 1,638.78
  4. Step 4: Simplify right side
    4,271.38x = 10,501,203.91
  5. Step 5: Solve for x
    x = 10,501,203.91/4,271.38
  6. Step 6: Final answer
    x = 2,458.50

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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.