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Finding the Fourth Proportional to 5,966.81, 8,235.41 and 3,449.03

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Solution

The fourth proportional to 5,966.81, 8,235.41 and 3,449.03 is: 4,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.81 : 8,235.41 = 3,449.03 : x
  2. Step 2: Convert to fraction form
    5,966.81/8,235.41 = 3,449.03/x
  3. Step 3: Cross multiply
    5,966.81x = 8,235.41 × 3,449.03
  4. Step 4: Simplify right side
    5,966.81x = 28,404,117.73
  5. Step 5: Solve for x
    x = 28,404,117.73/5,966.81
  6. Step 6: Final answer
    x = 4,760.35

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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.