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Finding the Fourth Proportional to 4,606.45, 6,912.63 and 4,589.44

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Solution

The fourth proportional to 4,606.45, 6,912.63 and 4,589.44 is: 6,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.45 : 6,912.63 = 4,589.44 : x
  2. Step 2: Convert to fraction form
    4,606.45/6,912.63 = 4,589.44/x
  3. Step 3: Cross multiply
    4,606.45x = 6,912.63 × 4,589.44
  4. Step 4: Simplify right side
    4,606.45x = 31,725,083.35
  5. Step 5: Solve for x
    x = 31,725,083.35/4,606.45
  6. Step 6: Final answer
    x = 6,887.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.