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Finding the Fourth Proportional to 3,875.96, 5,343.18 and 2,942.84

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Solution

The fourth proportional to 3,875.96, 5,343.18 and 2,942.84 is: 4,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.96 : 5,343.18 = 2,942.84 : x
  2. Step 2: Convert to fraction form
    3,875.96/5,343.18 = 2,942.84/x
  3. Step 3: Cross multiply
    3,875.96x = 5,343.18 × 2,942.84
  4. Step 4: Simplify right side
    3,875.96x = 15,724,123.83
  5. Step 5: Solve for x
    x = 15,724,123.83/3,875.96
  6. Step 6: Final answer
    x = 4,056.83

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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.