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Finding the Fourth Proportional to 5,312.37, 7,976.78 and 2,852

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Solution

The fourth proportional to 5,312.37, 7,976.78 and 2,852 is: 4,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.37 : 7,976.78 = 2,852 : x
  2. Step 2: Convert to fraction form
    5,312.37/7,976.78 = 2,852/x
  3. Step 3: Cross multiply
    5,312.37x = 7,976.78 × 2,852
  4. Step 4: Simplify right side
    5,312.37x = 22,749,776.56
  5. Step 5: Solve for x
    x = 22,749,776.56/5,312.37
  6. Step 6: Final answer
    x = 4,282.42

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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.