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Finding the Fourth Proportional to 4,090.44, 6,132.04 and 3,402.76

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Solution

The fourth proportional to 4,090.44, 6,132.04 and 3,402.76 is: 5,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.44 : 6,132.04 = 3,402.76 : x
  2. Step 2: Convert to fraction form
    4,090.44/6,132.04 = 3,402.76/x
  3. Step 3: Cross multiply
    4,090.44x = 6,132.04 × 3,402.76
  4. Step 4: Simplify right side
    4,090.44x = 20,865,860.43
  5. Step 5: Solve for x
    x = 20,865,860.43/4,090.44
  6. Step 6: Final answer
    x = 5,101.13

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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.