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Finding the Fourth Proportional to 3,064.36, 4,596.42 and 755.86

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Solution

The fourth proportional to 3,064.36, 4,596.42 and 755.86 is: 1,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.36 : 4,596.42 = 755.86 : x
  2. Step 2: Convert to fraction form
    3,064.36/4,596.42 = 755.86/x
  3. Step 3: Cross multiply
    3,064.36x = 4,596.42 × 755.86
  4. Step 4: Simplify right side
    3,064.36x = 3,474,250.02
  5. Step 5: Solve for x
    x = 3,474,250.02/3,064.36
  6. Step 6: Final answer
    x = 1,133.76

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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.