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Finding the Fourth Proportional to 6,143.64, 8,478.23 and 3,491.05

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Solution

The fourth proportional to 6,143.64, 8,478.23 and 3,491.05 is: 4,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.64 : 8,478.23 = 3,491.05 : x
  2. Step 2: Convert to fraction form
    6,143.64/8,478.23 = 3,491.05/x
  3. Step 3: Cross multiply
    6,143.64x = 8,478.23 × 3,491.05
  4. Step 4: Simplify right side
    6,143.64x = 29,597,924.84
  5. Step 5: Solve for x
    x = 29,597,924.84/6,143.64
  6. Step 6: Final answer
    x = 4,817.65

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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.