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Finding the Fourth Proportional to 4,755.25, 6,546.45 and 4,164.76

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Solution

The fourth proportional to 4,755.25, 6,546.45 and 4,164.76 is: 5,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.25 : 6,546.45 = 4,164.76 : x
  2. Step 2: Convert to fraction form
    4,755.25/6,546.45 = 4,164.76/x
  3. Step 3: Cross multiply
    4,755.25x = 6,546.45 × 4,164.76
  4. Step 4: Simplify right side
    4,755.25x = 27,264,393.10
  5. Step 5: Solve for x
    x = 27,264,393.10/4,755.25
  6. Step 6: Final answer
    x = 5,733.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.