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Finding the Fourth Proportional to 6,305.16, 8,700.78 and 3,471.98

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Solution

The fourth proportional to 6,305.16, 8,700.78 and 3,471.98 is: 4,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.16 : 8,700.78 = 3,471.98 : x
  2. Step 2: Convert to fraction form
    6,305.16/8,700.78 = 3,471.98/x
  3. Step 3: Cross multiply
    6,305.16x = 8,700.78 × 3,471.98
  4. Step 4: Simplify right side
    6,305.16x = 30,208,923.27
  5. Step 5: Solve for x
    x = 30,208,923.27/6,305.16
  6. Step 6: Final answer
    x = 4,791.14

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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.