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Finding the Fourth Proportional to 4,546.94, 6,826.88 and 3,458.30

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Solution

The fourth proportional to 4,546.94, 6,826.88 and 3,458.30 is: 5,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.94 : 6,826.88 = 3,458.30 : x
  2. Step 2: Convert to fraction form
    4,546.94/6,826.88 = 3,458.30/x
  3. Step 3: Cross multiply
    4,546.94x = 6,826.88 × 3,458.30
  4. Step 4: Simplify right side
    4,546.94x = 23,609,373.62
  5. Step 5: Solve for x
    x = 23,609,373.62/4,546.94
  6. Step 6: Final answer
    x = 5,192.37

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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.