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Finding the Fourth Proportional to 3,783.34, 5,673.03 and 2,223.82

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Solution

The fourth proportional to 3,783.34, 5,673.03 and 2,223.82 is: 3,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.34 : 5,673.03 = 2,223.82 : x
  2. Step 2: Convert to fraction form
    3,783.34/5,673.03 = 2,223.82/x
  3. Step 3: Cross multiply
    3,783.34x = 5,673.03 × 2,223.82
  4. Step 4: Simplify right side
    3,783.34x = 12,615,797.57
  5. Step 5: Solve for x
    x = 12,615,797.57/3,783.34
  6. Step 6: Final answer
    x = 3,334.57

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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.