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Finding the Fourth Proportional to 3,468.80, 4,790.31 and 2,968.51

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Solution

The fourth proportional to 3,468.80, 4,790.31 and 2,968.51 is: 4,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.80 : 4,790.31 = 2,968.51 : x
  2. Step 2: Convert to fraction form
    3,468.80/4,790.31 = 2,968.51/x
  3. Step 3: Cross multiply
    3,468.80x = 4,790.31 × 2,968.51
  4. Step 4: Simplify right side
    3,468.80x = 14,220,083.14
  5. Step 5: Solve for x
    x = 14,220,083.14/3,468.80
  6. Step 6: Final answer
    x = 4,099.42

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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.