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Finding the Fourth Proportional to 4,965.30, 7,454.70 and 3,221.10

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Solution

The fourth proportional to 4,965.30, 7,454.70 and 3,221.10 is: 4,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.30 : 7,454.70 = 3,221.10 : x
  2. Step 2: Convert to fraction form
    4,965.30/7,454.70 = 3,221.10/x
  3. Step 3: Cross multiply
    4,965.30x = 7,454.70 × 3,221.10
  4. Step 4: Simplify right side
    4,965.30x = 24,012,334.17
  5. Step 5: Solve for x
    x = 24,012,334.17/4,965.30
  6. Step 6: Final answer
    x = 4,836.03

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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.