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Finding the Fourth Proportional to 5,624.65, 7,694.56 and 5,600.96

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Solution

The fourth proportional to 5,624.65, 7,694.56 and 5,600.96 is: 7,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.65 : 7,694.56 = 5,600.96 : x
  2. Step 2: Convert to fraction form
    5,624.65/7,694.56 = 5,600.96/x
  3. Step 3: Cross multiply
    5,624.65x = 7,694.56 × 5,600.96
  4. Step 4: Simplify right side
    5,624.65x = 43,096,870.30
  5. Step 5: Solve for x
    x = 43,096,870.30/5,624.65
  6. Step 6: Final answer
    x = 7,662.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.