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Finding the Fourth Proportional to 4,648.65, 6,975.45 and 2,183.50

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Solution

The fourth proportional to 4,648.65, 6,975.45 and 2,183.50 is: 3,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.65 : 6,975.45 = 2,183.50 : x
  2. Step 2: Convert to fraction form
    4,648.65/6,975.45 = 2,183.50/x
  3. Step 3: Cross multiply
    4,648.65x = 6,975.45 × 2,183.50
  4. Step 4: Simplify right side
    4,648.65x = 15,230,895.08
  5. Step 5: Solve for x
    x = 15,230,895.08/4,648.65
  6. Step 6: Final answer
    x = 3,276.41

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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.