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Finding the Fourth Proportional to 3,646.31, 5,468.29 and 1,305.68

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Solution

The fourth proportional to 3,646.31, 5,468.29 and 1,305.68 is: 1,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.31 : 5,468.29 = 1,305.68 : x
  2. Step 2: Convert to fraction form
    3,646.31/5,468.29 = 1,305.68/x
  3. Step 3: Cross multiply
    3,646.31x = 5,468.29 × 1,305.68
  4. Step 4: Simplify right side
    3,646.31x = 7,139,806.28
  5. Step 5: Solve for x
    x = 7,139,806.28/3,646.31
  6. Step 6: Final answer
    x = 1,958.09

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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.