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Finding the Fourth Proportional to 4,118.70, 6,178.08 and 3,295.92

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Solution

The fourth proportional to 4,118.70, 6,178.08 and 3,295.92 is: 4,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.70 : 6,178.08 = 3,295.92 : x
  2. Step 2: Convert to fraction form
    4,118.70/6,178.08 = 3,295.92/x
  3. Step 3: Cross multiply
    4,118.70x = 6,178.08 × 3,295.92
  4. Step 4: Simplify right side
    4,118.70x = 20,362,457.43
  5. Step 5: Solve for x
    x = 20,362,457.43/4,118.70
  6. Step 6: Final answer
    x = 4,943.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.