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Finding the Fourth Proportional to 4,705.12, 7,057.68 and 3,243.88

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Solution

The fourth proportional to 4,705.12, 7,057.68 and 3,243.88 is: 4,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.12 : 7,057.68 = 3,243.88 : x
  2. Step 2: Convert to fraction form
    4,705.12/7,057.68 = 3,243.88/x
  3. Step 3: Cross multiply
    4,705.12x = 7,057.68 × 3,243.88
  4. Step 4: Simplify right side
    4,705.12x = 22,894,267.00
  5. Step 5: Solve for x
    x = 22,894,267.00/4,705.12
  6. Step 6: Final answer
    x = 4,865.82

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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.