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Finding the Fourth Proportional to 3,903.64, 5,846.67 and 3,019.93

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Solution

The fourth proportional to 3,903.64, 5,846.67 and 3,019.93 is: 4,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.64 : 5,846.67 = 3,019.93 : x
  2. Step 2: Convert to fraction form
    3,903.64/5,846.67 = 3,019.93/x
  3. Step 3: Cross multiply
    3,903.64x = 5,846.67 × 3,019.93
  4. Step 4: Simplify right side
    3,903.64x = 17,656,519.52
  5. Step 5: Solve for x
    x = 17,656,519.52/3,903.64
  6. Step 6: Final answer
    x = 4,523.09

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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.