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Finding the Fourth Proportional to 4,644.63, 6,411.05 and 3,134.39

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Solution

The fourth proportional to 4,644.63, 6,411.05 and 3,134.39 is: 4,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.63 : 6,411.05 = 3,134.39 : x
  2. Step 2: Convert to fraction form
    4,644.63/6,411.05 = 3,134.39/x
  3. Step 3: Cross multiply
    4,644.63x = 6,411.05 × 3,134.39
  4. Step 4: Simplify right side
    4,644.63x = 20,094,683.28
  5. Step 5: Solve for x
    x = 20,094,683.28/4,644.63
  6. Step 6: Final answer
    x = 4,326.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.