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Finding the Fourth Proportional to 6,135.65, 8,464.30 and 4,146.90

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Solution

The fourth proportional to 6,135.65, 8,464.30 and 4,146.90 is: 5,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.65 : 8,464.30 = 4,146.90 : x
  2. Step 2: Convert to fraction form
    6,135.65/8,464.30 = 4,146.90/x
  3. Step 3: Cross multiply
    6,135.65x = 8,464.30 × 4,146.90
  4. Step 4: Simplify right side
    6,135.65x = 35,100,563.56
  5. Step 5: Solve for x
    x = 35,100,563.56/6,135.65
  6. Step 6: Final answer
    x = 5,720.76

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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.