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Finding the Fourth Proportional to 4,651.56, 6,420.67 and 3,164.00

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Solution

The fourth proportional to 4,651.56, 6,420.67 and 3,164.00 is: 4,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.56 : 6,420.67 = 3,164.00 : x
  2. Step 2: Convert to fraction form
    4,651.56/6,420.67 = 3,164.00/x
  3. Step 3: Cross multiply
    4,651.56x = 6,420.67 × 3,164.00
  4. Step 4: Simplify right side
    4,651.56x = 20,314,959.87
  5. Step 5: Solve for x
    x = 20,314,959.87/4,651.56
  6. Step 6: Final answer
    x = 4,367.34

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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.