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Finding the Fourth Proportional to 4,662.69, 6,437.25 and 2,895.27

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Solution

The fourth proportional to 4,662.69, 6,437.25 and 2,895.27 is: 3,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.69 : 6,437.25 = 2,895.27 : x
  2. Step 2: Convert to fraction form
    4,662.69/6,437.25 = 2,895.27/x
  3. Step 3: Cross multiply
    4,662.69x = 6,437.25 × 2,895.27
  4. Step 4: Simplify right side
    4,662.69x = 18,637,576.81
  5. Step 5: Solve for x
    x = 18,637,576.81/4,662.69
  6. Step 6: Final answer
    x = 3,997.17

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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.