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Finding the Fourth Proportional to 6,295.50, 8,687.79 and 3,501

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Solution

The fourth proportional to 6,295.50, 8,687.79 and 3,501 is: 4,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.50 : 8,687.79 = 3,501 : x
  2. Step 2: Convert to fraction form
    6,295.50/8,687.79 = 3,501/x
  3. Step 3: Cross multiply
    6,295.50x = 8,687.79 × 3,501
  4. Step 4: Simplify right side
    6,295.50x = 30,415,952.79
  5. Step 5: Solve for x
    x = 30,415,952.79/6,295.50
  6. Step 6: Final answer
    x = 4,831.38

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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.