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Finding the Fourth Proportional to 4,139.34, 6,205.34 and 1,540.46

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Solution

The fourth proportional to 4,139.34, 6,205.34 and 1,540.46 is: 2,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.34 : 6,205.34 = 1,540.46 : x
  2. Step 2: Convert to fraction form
    4,139.34/6,205.34 = 1,540.46/x
  3. Step 3: Cross multiply
    4,139.34x = 6,205.34 × 1,540.46
  4. Step 4: Simplify right side
    4,139.34x = 9,559,078.06
  5. Step 5: Solve for x
    x = 9,559,078.06/4,139.34
  6. Step 6: Final answer
    x = 2,309.32

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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.