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Finding the Fourth Proportional to 3,555.75, 5,326.70 and 2,165.64

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Solution

The fourth proportional to 3,555.75, 5,326.70 and 2,165.64 is: 3,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,555.75 : 5,326.70 = 2,165.64 : x
  2. Step 2: Convert to fraction form
    3,555.75/5,326.70 = 2,165.64/x
  3. Step 3: Cross multiply
    3,555.75x = 5,326.70 × 2,165.64
  4. Step 4: Simplify right side
    3,555.75x = 11,535,713.75
  5. Step 5: Solve for x
    x = 11,535,713.75/3,555.75
  6. Step 6: Final answer
    x = 3,244.24

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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.