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Finding the Fourth Proportional to 3,608.34, 4,977.09 and 2,824.98

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Solution

The fourth proportional to 3,608.34, 4,977.09 and 2,824.98 is: 3,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.34 : 4,977.09 = 2,824.98 : x
  2. Step 2: Convert to fraction form
    3,608.34/4,977.09 = 2,824.98/x
  3. Step 3: Cross multiply
    3,608.34x = 4,977.09 × 2,824.98
  4. Step 4: Simplify right side
    3,608.34x = 14,060,179.71
  5. Step 5: Solve for x
    x = 14,060,179.71/3,608.34
  6. Step 6: Final answer
    x = 3,896.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.