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Finding the Fourth Proportional to 4,814.50, 6,644.01 and 2,606.50

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Solution

The fourth proportional to 4,814.50, 6,644.01 and 2,606.50 is: 3,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.50 : 6,644.01 = 2,606.50 : x
  2. Step 2: Convert to fraction form
    4,814.50/6,644.01 = 2,606.50/x
  3. Step 3: Cross multiply
    4,814.50x = 6,644.01 × 2,606.50
  4. Step 4: Simplify right side
    4,814.50x = 17,317,612.07
  5. Step 5: Solve for x
    x = 17,317,612.07/4,814.50
  6. Step 6: Final answer
    x = 3,596.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.