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Finding the Fourth Proportional to 3,712.80, 5,123.56 and 2,056.80

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Solution

The fourth proportional to 3,712.80, 5,123.56 and 2,056.80 is: 2,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.80 : 5,123.56 = 2,056.80 : x
  2. Step 2: Convert to fraction form
    3,712.80/5,123.56 = 2,056.80/x
  3. Step 3: Cross multiply
    3,712.80x = 5,123.56 × 2,056.80
  4. Step 4: Simplify right side
    3,712.80x = 10,538,138.21
  5. Step 5: Solve for x
    x = 10,538,138.21/3,712.80
  6. Step 6: Final answer
    x = 2,838.33

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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.