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Finding the Fourth Proportional to 5,971.38, 8,239.10 and 4,176.63

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Solution

The fourth proportional to 5,971.38, 8,239.10 and 4,176.63 is: 5,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.38 : 8,239.10 = 4,176.63 : x
  2. Step 2: Convert to fraction form
    5,971.38/8,239.10 = 4,176.63/x
  3. Step 3: Cross multiply
    5,971.38x = 8,239.10 × 4,176.63
  4. Step 4: Simplify right side
    5,971.38x = 34,411,651.35
  5. Step 5: Solve for x
    x = 34,411,651.35/5,971.38
  6. Step 6: Final answer
    x = 5,762.76

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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.