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Finding the Fourth Proportional to 3,656.81, 5,046.14 and 2,164.34

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Solution

The fourth proportional to 3,656.81, 5,046.14 and 2,164.34 is: 2,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.81 : 5,046.14 = 2,164.34 : x
  2. Step 2: Convert to fraction form
    3,656.81/5,046.14 = 2,164.34/x
  3. Step 3: Cross multiply
    3,656.81x = 5,046.14 × 2,164.34
  4. Step 4: Simplify right side
    3,656.81x = 10,921,526.60
  5. Step 5: Solve for x
    x = 10,921,526.60/3,656.81
  6. Step 6: Final answer
    x = 2,986.63

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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.