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Finding the Fourth Proportional to 4,546.59, 6,782.04 and 4,021.71

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Solution

The fourth proportional to 4,546.59, 6,782.04 and 4,021.71 is: 5,999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.59 : 6,782.04 = 4,021.71 : x
  2. Step 2: Convert to fraction form
    4,546.59/6,782.04 = 4,021.71/x
  3. Step 3: Cross multiply
    4,546.59x = 6,782.04 × 4,021.71
  4. Step 4: Simplify right side
    4,546.59x = 27,275,398.09
  5. Step 5: Solve for x
    x = 27,275,398.09/4,546.59
  6. Step 6: Final answer
    x = 5,999.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.