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Finding the Fourth Proportional to 3,656.34, 5,045.22 and 2,164.32

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Solution

The fourth proportional to 3,656.34, 5,045.22 and 2,164.32 is: 2,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.34 : 5,045.22 = 2,164.32 : x
  2. Step 2: Convert to fraction form
    3,656.34/5,045.22 = 2,164.32/x
  3. Step 3: Cross multiply
    3,656.34x = 5,045.22 × 2,164.32
  4. Step 4: Simplify right side
    3,656.34x = 10,919,470.55
  5. Step 5: Solve for x
    x = 10,919,470.55/3,656.34
  6. Step 6: Final answer
    x = 2,986.45

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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.