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Finding the Fourth Proportional to 3,424.30, 4,734.75 and 2,986.90

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Solution

The fourth proportional to 3,424.30, 4,734.75 and 2,986.90 is: 4,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.30 : 4,734.75 = 2,986.90 : x
  2. Step 2: Convert to fraction form
    3,424.30/4,734.75 = 2,986.90/x
  3. Step 3: Cross multiply
    3,424.30x = 4,734.75 × 2,986.90
  4. Step 4: Simplify right side
    3,424.30x = 14,142,224.78
  5. Step 5: Solve for x
    x = 14,142,224.78/3,424.30
  6. Step 6: Final answer
    x = 4,129.96

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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.