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Finding the Fourth Proportional to 3,671.80, 5,504.10 and 3,234.40

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Solution

The fourth proportional to 3,671.80, 5,504.10 and 3,234.40 is: 4,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.80 : 5,504.10 = 3,234.40 : x
  2. Step 2: Convert to fraction form
    3,671.80/5,504.10 = 3,234.40/x
  3. Step 3: Cross multiply
    3,671.80x = 5,504.10 × 3,234.40
  4. Step 4: Simplify right side
    3,671.80x = 17,802,461.04
  5. Step 5: Solve for x
    x = 17,802,461.04/3,671.80
  6. Step 6: Final answer
    x = 4,848.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.