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Finding the Fourth Proportional to 4,713.68, 7,063.32 and 2,632.88

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Solution

The fourth proportional to 4,713.68, 7,063.32 and 2,632.88 is: 3,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.68 : 7,063.32 = 2,632.88 : x
  2. Step 2: Convert to fraction form
    4,713.68/7,063.32 = 2,632.88/x
  3. Step 3: Cross multiply
    4,713.68x = 7,063.32 × 2,632.88
  4. Step 4: Simplify right side
    4,713.68x = 18,596,873.96
  5. Step 5: Solve for x
    x = 18,596,873.96/4,713.68
  6. Step 6: Final answer
    x = 3,945.30

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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.