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Finding the Fourth Proportional to 3,783.57, 5,220.07 and 2,290.92

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Solution

The fourth proportional to 3,783.57, 5,220.07 and 2,290.92 is: 3,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.57 : 5,220.07 = 2,290.92 : x
  2. Step 2: Convert to fraction form
    3,783.57/5,220.07 = 2,290.92/x
  3. Step 3: Cross multiply
    3,783.57x = 5,220.07 × 2,290.92
  4. Step 4: Simplify right side
    3,783.57x = 11,958,762.76
  5. Step 5: Solve for x
    x = 11,958,762.76/3,783.57
  6. Step 6: Final answer
    x = 3,160.71

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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.