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Finding the Fourth Proportional to 3,901.66, 5,852.48 and 1,304.59

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Solution

The fourth proportional to 3,901.66, 5,852.48 and 1,304.59 is: 1,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.66 : 5,852.48 = 1,304.59 : x
  2. Step 2: Convert to fraction form
    3,901.66/5,852.48 = 1,304.59/x
  3. Step 3: Cross multiply
    3,901.66x = 5,852.48 × 1,304.59
  4. Step 4: Simplify right side
    3,901.66x = 7,635,086.88
  5. Step 5: Solve for x
    x = 7,635,086.88/3,901.66
  6. Step 6: Final answer
    x = 1,956.88

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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.