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Finding the Fourth Proportional to 3,164.33, 4,359.89 and 2,114.57

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Solution

The fourth proportional to 3,164.33, 4,359.89 and 2,114.57 is: 2,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.33 : 4,359.89 = 2,114.57 : x
  2. Step 2: Convert to fraction form
    3,164.33/4,359.89 = 2,114.57/x
  3. Step 3: Cross multiply
    3,164.33x = 4,359.89 × 2,114.57
  4. Step 4: Simplify right side
    3,164.33x = 9,219,308.78
  5. Step 5: Solve for x
    x = 9,219,308.78/3,164.33
  6. Step 6: Final answer
    x = 2,913.51

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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.