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Finding the Fourth Proportional to 4,833, 6,669 and 3,065.04

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Solution

The fourth proportional to 4,833, 6,669 and 3,065.04 is: 4,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833 : 6,669 = 3,065.04 : x
  2. Step 2: Convert to fraction form
    4,833/6,669 = 3,065.04/x
  3. Step 3: Cross multiply
    4,833x = 6,669 × 3,065.04
  4. Step 4: Simplify right side
    4,833x = 20,440,751.76
  5. Step 5: Solve for x
    x = 20,440,751.76/4,833
  6. Step 6: Final answer
    x = 4,229.41

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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.