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Finding the Fourth Proportional to 3,875.28, 5,343.48 and 2,942.16

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Solution

The fourth proportional to 3,875.28, 5,343.48 and 2,942.16 is: 4,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.28 : 5,343.48 = 2,942.16 : x
  2. Step 2: Convert to fraction form
    3,875.28/5,343.48 = 2,942.16/x
  3. Step 3: Cross multiply
    3,875.28x = 5,343.48 × 2,942.16
  4. Step 4: Simplify right side
    3,875.28x = 15,721,373.12
  5. Step 5: Solve for x
    x = 15,721,373.12/3,875.28
  6. Step 6: Final answer
    x = 4,056.84

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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.