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Finding the Fourth Proportional to 6,194.34, 8,547.92 and 3,399.66

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Solution

The fourth proportional to 6,194.34, 8,547.92 and 3,399.66 is: 4,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.34 : 8,547.92 = 3,399.66 : x
  2. Step 2: Convert to fraction form
    6,194.34/8,547.92 = 3,399.66/x
  3. Step 3: Cross multiply
    6,194.34x = 8,547.92 × 3,399.66
  4. Step 4: Simplify right side
    6,194.34x = 29,060,021.71
  5. Step 5: Solve for x
    x = 29,060,021.71/6,194.34
  6. Step 6: Final answer
    x = 4,691.38

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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.