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Finding the Fourth Proportional to 6,261.94, 8,641.57 and 3,429.26

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Solution

The fourth proportional to 6,261.94, 8,641.57 and 3,429.26 is: 4,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.94 : 8,641.57 = 3,429.26 : x
  2. Step 2: Convert to fraction form
    6,261.94/8,641.57 = 3,429.26/x
  3. Step 3: Cross multiply
    6,261.94x = 8,641.57 × 3,429.26
  4. Step 4: Simplify right side
    6,261.94x = 29,634,216.16
  5. Step 5: Solve for x
    x = 29,634,216.16/6,261.94
  6. Step 6: Final answer
    x = 4,732.43

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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.