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Finding the Fourth Proportional to 6,238.64, 8,609.18 and 3,405.90

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Solution

The fourth proportional to 6,238.64, 8,609.18 and 3,405.90 is: 4,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.64 : 8,609.18 = 3,405.90 : x
  2. Step 2: Convert to fraction form
    6,238.64/8,609.18 = 3,405.90/x
  3. Step 3: Cross multiply
    6,238.64x = 8,609.18 × 3,405.90
  4. Step 4: Simplify right side
    6,238.64x = 29,322,050.15
  5. Step 5: Solve for x
    x = 29,322,050.15/6,238.64
  6. Step 6: Final answer
    x = 4,700.07

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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.