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Finding the Fourth Proportional to 5,912.19, 8,864.64 and 3,958.47

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Solution

The fourth proportional to 5,912.19, 8,864.64 and 3,958.47 is: 5,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.19 : 8,864.64 = 3,958.47 : x
  2. Step 2: Convert to fraction form
    5,912.19/8,864.64 = 3,958.47/x
  3. Step 3: Cross multiply
    5,912.19x = 8,864.64 × 3,958.47
  4. Step 4: Simplify right side
    5,912.19x = 35,090,411.50
  5. Step 5: Solve for x
    x = 35,090,411.50/5,912.19
  6. Step 6: Final answer
    x = 5,935.26

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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.