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Finding the Fourth Proportional to 3,428.04, 5,142.40 and 962.88

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Solution

The fourth proportional to 3,428.04, 5,142.40 and 962.88 is: 1,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.04 : 5,142.40 = 962.88 : x
  2. Step 2: Convert to fraction form
    3,428.04/5,142.40 = 962.88/x
  3. Step 3: Cross multiply
    3,428.04x = 5,142.40 × 962.88
  4. Step 4: Simplify right side
    3,428.04x = 4,951,514.11
  5. Step 5: Solve for x
    x = 4,951,514.11/3,428.04
  6. Step 6: Final answer
    x = 1,444.42

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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.