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Finding the Fourth Proportional to 5,827.59, 8,039.51 and 3,938.48

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Solution

The fourth proportional to 5,827.59, 8,039.51 and 3,938.48 is: 5,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.59 : 8,039.51 = 3,938.48 : x
  2. Step 2: Convert to fraction form
    5,827.59/8,039.51 = 3,938.48/x
  3. Step 3: Cross multiply
    5,827.59x = 8,039.51 × 3,938.48
  4. Step 4: Simplify right side
    5,827.59x = 31,663,449.34
  5. Step 5: Solve for x
    x = 31,663,449.34/5,827.59
  6. Step 6: Final answer
    x = 5,433.37

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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.