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Finding the Fourth Proportional to 3,586.94, 4,948.23 and 2,328.20

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Solution

The fourth proportional to 3,586.94, 4,948.23 and 2,328.20 is: 3,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.94 : 4,948.23 = 2,328.20 : x
  2. Step 2: Convert to fraction form
    3,586.94/4,948.23 = 2,328.20/x
  3. Step 3: Cross multiply
    3,586.94x = 4,948.23 × 2,328.20
  4. Step 4: Simplify right side
    3,586.94x = 11,520,469.09
  5. Step 5: Solve for x
    x = 11,520,469.09/3,586.94
  6. Step 6: Final answer
    x = 3,211.78

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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.