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Finding the Fourth Proportional to 6,309.42, 8,707.38 and 3,476.79

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Solution

The fourth proportional to 6,309.42, 8,707.38 and 3,476.79 is: 4,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.42 : 8,707.38 = 3,476.79 : x
  2. Step 2: Convert to fraction form
    6,309.42/8,707.38 = 3,476.79/x
  3. Step 3: Cross multiply
    6,309.42x = 8,707.38 × 3,476.79
  4. Step 4: Simplify right side
    6,309.42x = 30,273,700.70
  5. Step 5: Solve for x
    x = 30,273,700.70/6,309.42
  6. Step 6: Final answer
    x = 4,798.18

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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.