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Finding the Fourth Proportional to 5,300.06, 7,952.72 and 2,181.06

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Solution

The fourth proportional to 5,300.06, 7,952.72 and 2,181.06 is: 3,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.06 : 7,952.72 = 2,181.06 : x
  2. Step 2: Convert to fraction form
    5,300.06/7,952.72 = 2,181.06/x
  3. Step 3: Cross multiply
    5,300.06x = 7,952.72 × 2,181.06
  4. Step 4: Simplify right side
    5,300.06x = 17,345,348.58
  5. Step 5: Solve for x
    x = 17,345,348.58/5,300.06
  6. Step 6: Final answer
    x = 3,272.67

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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.