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Finding the Fourth Proportional to 3,395.97, 5,090.46 and 1,422.76

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Solution

The fourth proportional to 3,395.97, 5,090.46 and 1,422.76 is: 2,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.97 : 5,090.46 = 1,422.76 : x
  2. Step 2: Convert to fraction form
    3,395.97/5,090.46 = 1,422.76/x
  3. Step 3: Cross multiply
    3,395.97x = 5,090.46 × 1,422.76
  4. Step 4: Simplify right side
    3,395.97x = 7,242,502.87
  5. Step 5: Solve for x
    x = 7,242,502.87/3,395.97
  6. Step 6: Final answer
    x = 2,132.68

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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.