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Finding the Fourth Proportional to 4,725.33, 6,509.67 and 3,306.38

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Solution

The fourth proportional to 4,725.33, 6,509.67 and 3,306.38 is: 4,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.33 : 6,509.67 = 3,306.38 : x
  2. Step 2: Convert to fraction form
    4,725.33/6,509.67 = 3,306.38/x
  3. Step 3: Cross multiply
    4,725.33x = 6,509.67 × 3,306.38
  4. Step 4: Simplify right side
    4,725.33x = 21,523,410.15
  5. Step 5: Solve for x
    x = 21,523,410.15/4,725.33
  6. Step 6: Final answer
    x = 4,554.90

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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.