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Finding the Fourth Proportional to 3,422.34, 5,134.73 and 1,342.40

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Solution

The fourth proportional to 3,422.34, 5,134.73 and 1,342.40 is: 2,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.34 : 5,134.73 = 1,342.40 : x
  2. Step 2: Convert to fraction form
    3,422.34/5,134.73 = 1,342.40/x
  3. Step 3: Cross multiply
    3,422.34x = 5,134.73 × 1,342.40
  4. Step 4: Simplify right side
    3,422.34x = 6,892,829.17
  5. Step 5: Solve for x
    x = 6,892,829.17/3,422.34
  6. Step 6: Final answer
    x = 2,014.07

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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.