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Finding the Fourth Proportional to 5,827.38, 8,032.41 and 3,938.37

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Solution

The fourth proportional to 5,827.38, 8,032.41 and 3,938.37 is: 5,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.38 : 8,032.41 = 3,938.37 : x
  2. Step 2: Convert to fraction form
    5,827.38/8,032.41 = 3,938.37/x
  3. Step 3: Cross multiply
    5,827.38x = 8,032.41 × 3,938.37
  4. Step 4: Simplify right side
    5,827.38x = 31,634,602.57
  5. Step 5: Solve for x
    x = 31,634,602.57/5,827.38
  6. Step 6: Final answer
    x = 5,428.62

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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.