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Finding the Fourth Proportional to 3,057.93, 4,576.82 and 2,323.44

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Solution

The fourth proportional to 3,057.93, 4,576.82 and 2,323.44 is: 3,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.93 : 4,576.82 = 2,323.44 : x
  2. Step 2: Convert to fraction form
    3,057.93/4,576.82 = 2,323.44/x
  3. Step 3: Cross multiply
    3,057.93x = 4,576.82 × 2,323.44
  4. Step 4: Simplify right side
    3,057.93x = 10,633,955.04
  5. Step 5: Solve for x
    x = 10,633,955.04/3,057.93
  6. Step 6: Final answer
    x = 3,477.50

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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.