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Finding the Fourth Proportional to 6,782.90, 9,359.32 and 3,798.86

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Solution

The fourth proportional to 6,782.90, 9,359.32 and 3,798.86 is: 5,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.90 : 9,359.32 = 3,798.86 : x
  2. Step 2: Convert to fraction form
    6,782.90/9,359.32 = 3,798.86/x
  3. Step 3: Cross multiply
    6,782.90x = 9,359.32 × 3,798.86
  4. Step 4: Simplify right side
    6,782.90x = 35,554,746.38
  5. Step 5: Solve for x
    x = 35,554,746.38/6,782.90
  6. Step 6: Final answer
    x = 5,241.82

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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.