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Finding the Fourth Proportional to 6,279.86, 8,666.48 and 3,762.38

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Solution

The fourth proportional to 6,279.86, 8,666.48 and 3,762.38 is: 5,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.86 : 8,666.48 = 3,762.38 : x
  2. Step 2: Convert to fraction form
    6,279.86/8,666.48 = 3,762.38/x
  3. Step 3: Cross multiply
    6,279.86x = 8,666.48 × 3,762.38
  4. Step 4: Simplify right side
    6,279.86x = 32,606,528.88
  5. Step 5: Solve for x
    x = 32,606,528.88/6,279.86
  6. Step 6: Final answer
    x = 5,192.24

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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.