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Finding the Fourth Proportional to 3,555.76, 5,327.74 and 2,164.88

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Solution

The fourth proportional to 3,555.76, 5,327.74 and 2,164.88 is: 3,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,555.76 : 5,327.74 = 2,164.88 : x
  2. Step 2: Convert to fraction form
    3,555.76/5,327.74 = 2,164.88/x
  3. Step 3: Cross multiply
    3,555.76x = 5,327.74 × 2,164.88
  4. Step 4: Simplify right side
    3,555.76x = 11,533,925.68
  5. Step 5: Solve for x
    x = 11,533,925.68/3,555.76
  6. Step 6: Final answer
    x = 3,243.73

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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.