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Finding the Fourth Proportional to 5,938.69, 8,195.04 and 3,285.94

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Solution

The fourth proportional to 5,938.69, 8,195.04 and 3,285.94 is: 4,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.69 : 8,195.04 = 3,285.94 : x
  2. Step 2: Convert to fraction form
    5,938.69/8,195.04 = 3,285.94/x
  3. Step 3: Cross multiply
    5,938.69x = 8,195.04 × 3,285.94
  4. Step 4: Simplify right side
    5,938.69x = 26,928,409.74
  5. Step 5: Solve for x
    x = 26,928,409.74/5,938.69
  6. Step 6: Final answer
    x = 4,534.40

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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.