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Finding the Fourth Proportional to 3,901.88, 5,853.84 and 1,304.84

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Solution

The fourth proportional to 3,901.88, 5,853.84 and 1,304.84 is: 1,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.88 : 5,853.84 = 1,304.84 : x
  2. Step 2: Convert to fraction form
    3,901.88/5,853.84 = 1,304.84/x
  3. Step 3: Cross multiply
    3,901.88x = 5,853.84 × 1,304.84
  4. Step 4: Simplify right side
    3,901.88x = 7,638,324.59
  5. Step 5: Solve for x
    x = 7,638,324.59/3,901.88
  6. Step 6: Final answer
    x = 1,957.60

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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.