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Finding the Fourth Proportional to 3,941.46, 5,913 and 1,476.27

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Solution

The fourth proportional to 3,941.46, 5,913 and 1,476.27 is: 2,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.46 : 5,913 = 1,476.27 : x
  2. Step 2: Convert to fraction form
    3,941.46/5,913 = 1,476.27/x
  3. Step 3: Cross multiply
    3,941.46x = 5,913 × 1,476.27
  4. Step 4: Simplify right side
    3,941.46x = 8,729,184.51
  5. Step 5: Solve for x
    x = 8,729,184.51/3,941.46
  6. Step 6: Final answer
    x = 2,214.71

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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.