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Finding the Fourth Proportional to 4,164.34, 5,736.01 and 2,903.14

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Solution

The fourth proportional to 4,164.34, 5,736.01 and 2,903.14 is: 3,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.34 : 5,736.01 = 2,903.14 : x
  2. Step 2: Convert to fraction form
    4,164.34/5,736.01 = 2,903.14/x
  3. Step 3: Cross multiply
    4,164.34x = 5,736.01 × 2,903.14
  4. Step 4: Simplify right side
    4,164.34x = 16,652,440.07
  5. Step 5: Solve for x
    x = 16,652,440.07/4,164.34
  6. Step 6: Final answer
    x = 3,998.82

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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.