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Finding the Fourth Proportional to 3,742.59, 5,610.24 and 1,796.16

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Solution

The fourth proportional to 3,742.59, 5,610.24 and 1,796.16 is: 2,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.59 : 5,610.24 = 1,796.16 : x
  2. Step 2: Convert to fraction form
    3,742.59/5,610.24 = 1,796.16/x
  3. Step 3: Cross multiply
    3,742.59x = 5,610.24 × 1,796.16
  4. Step 4: Simplify right side
    3,742.59x = 10,076,888.68
  5. Step 5: Solve for x
    x = 10,076,888.68/3,742.59
  6. Step 6: Final answer
    x = 2,692.49

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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.