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Finding the Fourth Proportional to 5,182.98, 7,775.24 and 2,409.94

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Solution

The fourth proportional to 5,182.98, 7,775.24 and 2,409.94 is: 3,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.98 : 7,775.24 = 2,409.94 : x
  2. Step 2: Convert to fraction form
    5,182.98/7,775.24 = 2,409.94/x
  3. Step 3: Cross multiply
    5,182.98x = 7,775.24 × 2,409.94
  4. Step 4: Simplify right side
    5,182.98x = 18,737,861.89
  5. Step 5: Solve for x
    x = 18,737,861.89/5,182.98
  6. Step 6: Final answer
    x = 3,615.27

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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.