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Finding the Fourth Proportional to 4,216.41, 6,324.76 and 1,583.65

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Solution

The fourth proportional to 4,216.41, 6,324.76 and 1,583.65 is: 2,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.41 : 6,324.76 = 1,583.65 : x
  2. Step 2: Convert to fraction form
    4,216.41/6,324.76 = 1,583.65/x
  3. Step 3: Cross multiply
    4,216.41x = 6,324.76 × 1,583.65
  4. Step 4: Simplify right side
    4,216.41x = 10,016,206.17
  5. Step 5: Solve for x
    x = 10,016,206.17/4,216.41
  6. Step 6: Final answer
    x = 2,375.53

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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.