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Finding the Fourth Proportional to 5,309.44, 7,966.32 and 1,846.96

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Solution

The fourth proportional to 5,309.44, 7,966.32 and 1,846.96 is: 2,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.44 : 7,966.32 = 1,846.96 : x
  2. Step 2: Convert to fraction form
    5,309.44/7,966.32 = 1,846.96/x
  3. Step 3: Cross multiply
    5,309.44x = 7,966.32 × 1,846.96
  4. Step 4: Simplify right side
    5,309.44x = 14,713,474.39
  5. Step 5: Solve for x
    x = 14,713,474.39/5,309.44
  6. Step 6: Final answer
    x = 2,771.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.