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Finding the Fourth Proportional to 4,640.33, 6,404.79 and 2,652.03

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Solution

The fourth proportional to 4,640.33, 6,404.79 and 2,652.03 is: 3,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.33 : 6,404.79 = 2,652.03 : x
  2. Step 2: Convert to fraction form
    4,640.33/6,404.79 = 2,652.03/x
  3. Step 3: Cross multiply
    4,640.33x = 6,404.79 × 2,652.03
  4. Step 4: Simplify right side
    4,640.33x = 16,985,705.17
  5. Step 5: Solve for x
    x = 16,985,705.17/4,640.33
  6. Step 6: Final answer
    x = 3,660.45

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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.