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Finding the Fourth Proportional to 4,671.38, 6,447.93 and 2,905.58

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Solution

The fourth proportional to 4,671.38, 6,447.93 and 2,905.58 is: 4,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.38 : 6,447.93 = 2,905.58 : x
  2. Step 2: Convert to fraction form
    4,671.38/6,447.93 = 2,905.58/x
  3. Step 3: Cross multiply
    4,671.38x = 6,447.93 × 2,905.58
  4. Step 4: Simplify right side
    4,671.38x = 18,734,976.45
  5. Step 5: Solve for x
    x = 18,734,976.45/4,671.38
  6. Step 6: Final answer
    x = 4,010.59

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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.