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Finding the Fourth Proportional to 5,966.76, 8,235.14 and 3,448.44

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Solution

The fourth proportional to 5,966.76, 8,235.14 and 3,448.44 is: 4,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.76 : 8,235.14 = 3,448.44 : x
  2. Step 2: Convert to fraction form
    5,966.76/8,235.14 = 3,448.44/x
  3. Step 3: Cross multiply
    5,966.76x = 8,235.14 × 3,448.44
  4. Step 4: Simplify right side
    5,966.76x = 28,398,368.94
  5. Step 5: Solve for x
    x = 28,398,368.94/5,966.76
  6. Step 6: Final answer
    x = 4,759.43

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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.