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Finding the Fourth Proportional to 3,462.17, 5,196.21 and 1,383.63

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Solution

The fourth proportional to 3,462.17, 5,196.21 and 1,383.63 is: 2,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.17 : 5,196.21 = 1,383.63 : x
  2. Step 2: Convert to fraction form
    3,462.17/5,196.21 = 1,383.63/x
  3. Step 3: Cross multiply
    3,462.17x = 5,196.21 × 1,383.63
  4. Step 4: Simplify right side
    3,462.17x = 7,189,646.34
  5. Step 5: Solve for x
    x = 7,189,646.34/3,462.17
  6. Step 6: Final answer
    x = 2,076.63

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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.