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Finding the Fourth Proportional to 3,512.63, 5,271.54 and 1,663.74

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Solution

The fourth proportional to 3,512.63, 5,271.54 and 1,663.74 is: 2,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.63 : 5,271.54 = 1,663.74 : x
  2. Step 2: Convert to fraction form
    3,512.63/5,271.54 = 1,663.74/x
  3. Step 3: Cross multiply
    3,512.63x = 5,271.54 × 1,663.74
  4. Step 4: Simplify right side
    3,512.63x = 8,770,463.64
  5. Step 5: Solve for x
    x = 8,770,463.64/3,512.63
  6. Step 6: Final answer
    x = 2,496.84

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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.