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Finding the Fourth Proportional to 4,627.53, 6,347.97 and 4,376.43

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Solution

The fourth proportional to 4,627.53, 6,347.97 and 4,376.43 is: 6,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.53 : 6,347.97 = 4,376.43 : x
  2. Step 2: Convert to fraction form
    4,627.53/6,347.97 = 4,376.43/x
  3. Step 3: Cross multiply
    4,627.53x = 6,347.97 × 4,376.43
  4. Step 4: Simplify right side
    4,627.53x = 27,781,446.35
  5. Step 5: Solve for x
    x = 27,781,446.35/4,627.53
  6. Step 6: Final answer
    x = 6,003.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.