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Finding the Fourth Proportional to 4,216.74, 6,328.23 and 1,586.73

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Solution

The fourth proportional to 4,216.74, 6,328.23 and 1,586.73 is: 2,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.74 : 6,328.23 = 1,586.73 : x
  2. Step 2: Convert to fraction form
    4,216.74/6,328.23 = 1,586.73/x
  3. Step 3: Cross multiply
    4,216.74x = 6,328.23 × 1,586.73
  4. Step 4: Simplify right side
    4,216.74x = 10,041,192.39
  5. Step 5: Solve for x
    x = 10,041,192.39/4,216.74
  6. Step 6: Final answer
    x = 2,381.27

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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.