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Finding the Fourth Proportional to 4,771.53, 6,584.36 and 2,675.25

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Solution

The fourth proportional to 4,771.53, 6,584.36 and 2,675.25 is: 3,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.53 : 6,584.36 = 2,675.25 : x
  2. Step 2: Convert to fraction form
    4,771.53/6,584.36 = 2,675.25/x
  3. Step 3: Cross multiply
    4,771.53x = 6,584.36 × 2,675.25
  4. Step 4: Simplify right side
    4,771.53x = 17,614,795.71
  5. Step 5: Solve for x
    x = 17,614,795.71/4,771.53
  6. Step 6: Final answer
    x = 3,691.65

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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.