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Finding the Fourth Proportional to 5,807.44, 8,014.16 and 3,450

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Solution

The fourth proportional to 5,807.44, 8,014.16 and 3,450 is: 4,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.44 : 8,014.16 = 3,450 : x
  2. Step 2: Convert to fraction form
    5,807.44/8,014.16 = 3,450/x
  3. Step 3: Cross multiply
    5,807.44x = 8,014.16 × 3,450
  4. Step 4: Simplify right side
    5,807.44x = 27,648,852
  5. Step 5: Solve for x
    x = 27,648,852/5,807.44
  6. Step 6: Final answer
    x = 4,760.94

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Why These Related Problems?

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