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Finding the Fourth Proportional to 3,901.28, 5,852 and 1,304.24

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Solution

The fourth proportional to 3,901.28, 5,852 and 1,304.24 is: 1,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.28 : 5,852 = 1,304.24 : x
  2. Step 2: Convert to fraction form
    3,901.28/5,852 = 1,304.24/x
  3. Step 3: Cross multiply
    3,901.28x = 5,852 × 1,304.24
  4. Step 4: Simplify right side
    3,901.28x = 7,632,412.48
  5. Step 5: Solve for x
    x = 7,632,412.48/3,901.28
  6. Step 6: Final answer
    x = 1,956.39

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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.