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Finding the Fourth Proportional to 5,969.85, 8,943.75 and 3,004.86

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Solution

The fourth proportional to 5,969.85, 8,943.75 and 3,004.86 is: 4,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.85 : 8,943.75 = 3,004.86 : x
  2. Step 2: Convert to fraction form
    5,969.85/8,943.75 = 3,004.86/x
  3. Step 3: Cross multiply
    5,969.85x = 8,943.75 × 3,004.86
  4. Step 4: Simplify right side
    5,969.85x = 26,874,716.63
  5. Step 5: Solve for x
    x = 26,874,716.63/5,969.85
  6. Step 6: Final answer
    x = 4,501.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.