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Finding the Fourth Proportional to 4,554.80, 6,272.70 and 4,102.82

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Solution

The fourth proportional to 4,554.80, 6,272.70 and 4,102.82 is: 5,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.80 : 6,272.70 = 4,102.82 : x
  2. Step 2: Convert to fraction form
    4,554.80/6,272.70 = 4,102.82/x
  3. Step 3: Cross multiply
    4,554.80x = 6,272.70 × 4,102.82
  4. Step 4: Simplify right side
    4,554.80x = 25,735,759.01
  5. Step 5: Solve for x
    x = 25,735,759.01/4,554.80
  6. Step 6: Final answer
    x = 5,650.25

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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.