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Finding the Fourth Proportional to 5,651.47, 7,797.42 and 3,293.16

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Solution

The fourth proportional to 5,651.47, 7,797.42 and 3,293.16 is: 4,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.47 : 7,797.42 = 3,293.16 : x
  2. Step 2: Convert to fraction form
    5,651.47/7,797.42 = 3,293.16/x
  3. Step 3: Cross multiply
    5,651.47x = 7,797.42 × 3,293.16
  4. Step 4: Simplify right side
    5,651.47x = 25,678,151.65
  5. Step 5: Solve for x
    x = 25,678,151.65/5,651.47
  6. Step 6: Final answer
    x = 4,543.62

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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.