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Finding the Fourth Proportional to 5,302.83, 7,951.98 and 2,180.67

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Solution

The fourth proportional to 5,302.83, 7,951.98 and 2,180.67 is: 3,270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.83 : 7,951.98 = 2,180.67 : x
  2. Step 2: Convert to fraction form
    5,302.83/7,951.98 = 2,180.67/x
  3. Step 3: Cross multiply
    5,302.83x = 7,951.98 × 2,180.67
  4. Step 4: Simplify right side
    5,302.83x = 17,340,644.23
  5. Step 5: Solve for x
    x = 17,340,644.23/5,302.83
  6. Step 6: Final answer
    x = 3,270.07

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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.