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Finding the Fourth Proportional to 5,892.10, 8,130.69 and 3,239.38

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Solution

The fourth proportional to 5,892.10, 8,130.69 and 3,239.38 is: 4,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.10 : 8,130.69 = 3,239.38 : x
  2. Step 2: Convert to fraction form
    5,892.10/8,130.69 = 3,239.38/x
  3. Step 3: Cross multiply
    5,892.10x = 8,130.69 × 3,239.38
  4. Step 4: Simplify right side
    5,892.10x = 26,338,394.57
  5. Step 5: Solve for x
    x = 26,338,394.57/5,892.10
  6. Step 6: Final answer
    x = 4,470.12

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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.