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Finding the Fourth Proportional to 3,591.64, 5,385.54 and 2,111.38

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Solution

The fourth proportional to 3,591.64, 5,385.54 and 2,111.38 is: 3,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.64 : 5,385.54 = 2,111.38 : x
  2. Step 2: Convert to fraction form
    3,591.64/5,385.54 = 2,111.38/x
  3. Step 3: Cross multiply
    3,591.64x = 5,385.54 × 2,111.38
  4. Step 4: Simplify right side
    3,591.64x = 11,370,921.45
  5. Step 5: Solve for x
    x = 11,370,921.45/3,591.64
  6. Step 6: Final answer
    x = 3,165.94

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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.