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Finding the Fourth Proportional to 5,190.57, 7,783.43 and 2,271.33

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Solution

The fourth proportional to 5,190.57, 7,783.43 and 2,271.33 is: 3,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.57 : 7,783.43 = 2,271.33 : x
  2. Step 2: Convert to fraction form
    5,190.57/7,783.43 = 2,271.33/x
  3. Step 3: Cross multiply
    5,190.57x = 7,783.43 × 2,271.33
  4. Step 4: Simplify right side
    5,190.57x = 17,678,726.71
  5. Step 5: Solve for x
    x = 17,678,726.71/5,190.57
  6. Step 6: Final answer
    x = 3,405.93

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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.