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Finding the Fourth Proportional to 6,406.50, 8,841.64 and 3,756.12

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Solution

The fourth proportional to 6,406.50, 8,841.64 and 3,756.12 is: 5,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.50 : 8,841.64 = 3,756.12 : x
  2. Step 2: Convert to fraction form
    6,406.50/8,841.64 = 3,756.12/x
  3. Step 3: Cross multiply
    6,406.50x = 8,841.64 × 3,756.12
  4. Step 4: Simplify right side
    6,406.50x = 33,210,260.84
  5. Step 5: Solve for x
    x = 33,210,260.84/6,406.50
  6. Step 6: Final answer
    x = 5,183.84

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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.