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Finding the Fourth Proportional to 5,905.90, 8,856.42 and 4,676.32

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Solution

The fourth proportional to 5,905.90, 8,856.42 and 4,676.32 is: 7,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.90 : 8,856.42 = 4,676.32 : x
  2. Step 2: Convert to fraction form
    5,905.90/8,856.42 = 4,676.32/x
  3. Step 3: Cross multiply
    5,905.90x = 8,856.42 × 4,676.32
  4. Step 4: Simplify right side
    5,905.90x = 41,415,453.97
  5. Step 5: Solve for x
    x = 41,415,453.97/5,905.90
  6. Step 6: Final answer
    x = 7,012.56

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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.