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Finding the Fourth Proportional to 5,046.09, 6,962.43 and 3,056.21

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Solution

The fourth proportional to 5,046.09, 6,962.43 and 3,056.21 is: 4,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.09 : 6,962.43 = 3,056.21 : x
  2. Step 2: Convert to fraction form
    5,046.09/6,962.43 = 3,056.21/x
  3. Step 3: Cross multiply
    5,046.09x = 6,962.43 × 3,056.21
  4. Step 4: Simplify right side
    5,046.09x = 21,278,648.19
  5. Step 5: Solve for x
    x = 21,278,648.19/5,046.09
  6. Step 6: Final answer
    x = 4,216.86

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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.