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Finding the Fourth Proportional to 3,656.52, 5,045.69 and 2,164.17

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Solution

The fourth proportional to 3,656.52, 5,045.69 and 2,164.17 is: 2,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.52 : 5,045.69 = 2,164.17 : x
  2. Step 2: Convert to fraction form
    3,656.52/5,045.69 = 2,164.17/x
  3. Step 3: Cross multiply
    3,656.52x = 5,045.69 × 2,164.17
  4. Step 4: Simplify right side
    3,656.52x = 10,919,720.11
  5. Step 5: Solve for x
    x = 10,919,720.11/3,656.52
  6. Step 6: Final answer
    x = 2,986.37

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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.