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Finding the Fourth Proportional to 3,564.34, 5,348.54 and 1,920.86

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Solution

The fourth proportional to 3,564.34, 5,348.54 and 1,920.86 is: 2,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.34 : 5,348.54 = 1,920.86 : x
  2. Step 2: Convert to fraction form
    3,564.34/5,348.54 = 1,920.86/x
  3. Step 3: Cross multiply
    3,564.34x = 5,348.54 × 1,920.86
  4. Step 4: Simplify right side
    3,564.34x = 10,273,796.54
  5. Step 5: Solve for x
    x = 10,273,796.54/3,564.34
  6. Step 6: Final answer
    x = 2,882.38

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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.