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Finding the Fourth Proportional to 5,302.92, 7,951.86 and 2,181.72

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Solution

The fourth proportional to 5,302.92, 7,951.86 and 2,181.72 is: 3,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.92 : 7,951.86 = 2,181.72 : x
  2. Step 2: Convert to fraction form
    5,302.92/7,951.86 = 2,181.72/x
  3. Step 3: Cross multiply
    5,302.92x = 7,951.86 × 2,181.72
  4. Step 4: Simplify right side
    5,302.92x = 17,348,732.00
  5. Step 5: Solve for x
    x = 17,348,732.00/5,302.92
  6. Step 6: Final answer
    x = 3,271.54

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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.