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Finding the Fourth Proportional to 3,742.44, 5,603.62 and 2,094.30

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Solution

The fourth proportional to 3,742.44, 5,603.62 and 2,094.30 is: 3,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.44 : 5,603.62 = 2,094.30 : x
  2. Step 2: Convert to fraction form
    3,742.44/5,603.62 = 2,094.30/x
  3. Step 3: Cross multiply
    3,742.44x = 5,603.62 × 2,094.30
  4. Step 4: Simplify right side
    3,742.44x = 11,735,628.11
  5. Step 5: Solve for x
    x = 11,735,628.11/3,742.44
  6. Step 6: Final answer
    x = 3,135.82

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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.