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Finding the Fourth Proportional to 6,202.65, 8,558.64 and 3,811.83

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Solution

The fourth proportional to 6,202.65, 8,558.64 and 3,811.83 is: 5,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.65 : 8,558.64 = 3,811.83 : x
  2. Step 2: Convert to fraction form
    6,202.65/8,558.64 = 3,811.83/x
  3. Step 3: Cross multiply
    6,202.65x = 8,558.64 × 3,811.83
  4. Step 4: Simplify right side
    6,202.65x = 32,624,080.71
  5. Step 5: Solve for x
    x = 32,624,080.71/6,202.65
  6. Step 6: Final answer
    x = 5,259.70

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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.