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Finding the Fourth Proportional to 5,185.65, 7,162.11 and 3,425.13

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Solution

The fourth proportional to 5,185.65, 7,162.11 and 3,425.13 is: 4,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.65 : 7,162.11 = 3,425.13 : x
  2. Step 2: Convert to fraction form
    5,185.65/7,162.11 = 3,425.13/x
  3. Step 3: Cross multiply
    5,185.65x = 7,162.11 × 3,425.13
  4. Step 4: Simplify right side
    5,185.65x = 24,531,157.82
  5. Step 5: Solve for x
    x = 24,531,157.82/5,185.65
  6. Step 6: Final answer
    x = 4,730.58

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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.