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Finding the Fourth Proportional to 3,683.36, 5,520 and 2,123.84

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Solution

The fourth proportional to 3,683.36, 5,520 and 2,123.84 is: 3,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.36 : 5,520 = 2,123.84 : x
  2. Step 2: Convert to fraction form
    3,683.36/5,520 = 2,123.84/x
  3. Step 3: Cross multiply
    3,683.36x = 5,520 × 2,123.84
  4. Step 4: Simplify right side
    3,683.36x = 11,723,596.80
  5. Step 5: Solve for x
    x = 11,723,596.80/3,683.36
  6. Step 6: Final answer
    x = 3,182.85

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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.