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Finding the Fourth Proportional to 4,673.70, 7,015.10 and 3,644.90

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Solution

The fourth proportional to 4,673.70, 7,015.10 and 3,644.90 is: 5,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.70 : 7,015.10 = 3,644.90 : x
  2. Step 2: Convert to fraction form
    4,673.70/7,015.10 = 3,644.90/x
  3. Step 3: Cross multiply
    4,673.70x = 7,015.10 × 3,644.90
  4. Step 4: Simplify right side
    4,673.70x = 25,569,284.69
  5. Step 5: Solve for x
    x = 25,569,284.69/4,673.70
  6. Step 6: Final answer
    x = 5,470.89

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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.