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Finding the Fourth Proportional to 5,097.69, 7,647.62 and 1,637.37

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Solution

The fourth proportional to 5,097.69, 7,647.62 and 1,637.37 is: 2,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.69 : 7,647.62 = 1,637.37 : x
  2. Step 2: Convert to fraction form
    5,097.69/7,647.62 = 1,637.37/x
  3. Step 3: Cross multiply
    5,097.69x = 7,647.62 × 1,637.37
  4. Step 4: Simplify right side
    5,097.69x = 12,521,975.37
  5. Step 5: Solve for x
    x = 12,521,975.37/5,097.69
  6. Step 6: Final answer
    x = 2,456.40

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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.