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Finding the Fourth Proportional to 3,423.80, 4,734.06 and 2,986.40

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Solution

The fourth proportional to 3,423.80, 4,734.06 and 2,986.40 is: 4,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.80 : 4,734.06 = 2,986.40 : x
  2. Step 2: Convert to fraction form
    3,423.80/4,734.06 = 2,986.40/x
  3. Step 3: Cross multiply
    3,423.80x = 4,734.06 × 2,986.40
  4. Step 4: Simplify right side
    3,423.80x = 14,137,796.78
  5. Step 5: Solve for x
    x = 14,137,796.78/3,423.80
  6. Step 6: Final answer
    x = 4,129.27

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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.