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Finding the Fourth Proportional to 4,710.38, 6,489.61 and 3,644.46

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Solution

The fourth proportional to 4,710.38, 6,489.61 and 3,644.46 is: 5,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.38 : 6,489.61 = 3,644.46 : x
  2. Step 2: Convert to fraction form
    4,710.38/6,489.61 = 3,644.46/x
  3. Step 3: Cross multiply
    4,710.38x = 6,489.61 × 3,644.46
  4. Step 4: Simplify right side
    4,710.38x = 23,651,114.95
  5. Step 5: Solve for x
    x = 23,651,114.95/4,710.38
  6. Step 6: Final answer
    x = 5,021.07

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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.