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Finding the Fourth Proportional to 2,905.75, 4,374.43 and 2,647.41

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Solution

The fourth proportional to 2,905.75, 4,374.43 and 2,647.41 is: 3,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.75 : 4,374.43 = 2,647.41 : x
  2. Step 2: Convert to fraction form
    2,905.75/4,374.43 = 2,647.41/x
  3. Step 3: Cross multiply
    2,905.75x = 4,374.43 × 2,647.41
  4. Step 4: Simplify right side
    2,905.75x = 11,580,909.73
  5. Step 5: Solve for x
    x = 11,580,909.73/2,905.75
  6. Step 6: Final answer
    x = 3,985.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.