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Finding the Fourth Proportional to 3,422.74, 5,130.36 and 1,342.12

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Solution

The fourth proportional to 3,422.74, 5,130.36 and 1,342.12 is: 2,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.74 : 5,130.36 = 1,342.12 : x
  2. Step 2: Convert to fraction form
    3,422.74/5,130.36 = 1,342.12/x
  3. Step 3: Cross multiply
    3,422.74x = 5,130.36 × 1,342.12
  4. Step 4: Simplify right side
    3,422.74x = 6,885,558.76
  5. Step 5: Solve for x
    x = 6,885,558.76/3,422.74
  6. Step 6: Final answer
    x = 2,011.71

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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.