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Finding the Fourth Proportional to 5,109.57, 7,665.63 and 2,478.33

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Solution

The fourth proportional to 5,109.57, 7,665.63 and 2,478.33 is: 3,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.57 : 7,665.63 = 2,478.33 : x
  2. Step 2: Convert to fraction form
    5,109.57/7,665.63 = 2,478.33/x
  3. Step 3: Cross multiply
    5,109.57x = 7,665.63 × 2,478.33
  4. Step 4: Simplify right side
    5,109.57x = 18,997,960.80
  5. Step 5: Solve for x
    x = 18,997,960.80/5,109.57
  6. Step 6: Final answer
    x = 3,718.11

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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.