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Finding the Fourth Proportional to 3,290.34, 4,942.80 and 2,809.20

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Solution

The fourth proportional to 3,290.34, 4,942.80 and 2,809.20 is: 4,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.34 : 4,942.80 = 2,809.20 : x
  2. Step 2: Convert to fraction form
    3,290.34/4,942.80 = 2,809.20/x
  3. Step 3: Cross multiply
    3,290.34x = 4,942.80 × 2,809.20
  4. Step 4: Simplify right side
    3,290.34x = 13,885,313.76
  5. Step 5: Solve for x
    x = 13,885,313.76/3,290.34
  6. Step 6: Final answer
    x = 4,220.02

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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.