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Finding the Fourth Proportional to 6,379.38, 8,798.68 and 5,662.32

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Solution

The fourth proportional to 6,379.38, 8,798.68 and 5,662.32 is: 7,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.38 : 8,798.68 = 5,662.32 : x
  2. Step 2: Convert to fraction form
    6,379.38/8,798.68 = 5,662.32/x
  3. Step 3: Cross multiply
    6,379.38x = 8,798.68 × 5,662.32
  4. Step 4: Simplify right side
    6,379.38x = 49,820,941.74
  5. Step 5: Solve for x
    x = 49,820,941.74/6,379.38
  6. Step 6: Final answer
    x = 7,809.68

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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.