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Finding the Fourth Proportional to 5,957.60, 8,221.48 and 3,305.20

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Solution

The fourth proportional to 5,957.60, 8,221.48 and 3,305.20 is: 4,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.60 : 8,221.48 = 3,305.20 : x
  2. Step 2: Convert to fraction form
    5,957.60/8,221.48 = 3,305.20/x
  3. Step 3: Cross multiply
    5,957.60x = 8,221.48 × 3,305.20
  4. Step 4: Simplify right side
    5,957.60x = 27,173,635.70
  5. Step 5: Solve for x
    x = 27,173,635.70/5,957.60
  6. Step 6: Final answer
    x = 4,561.17

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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.