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Finding the Fourth Proportional to 5,567.53, 7,682.89 and 3,049.51

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Solution

The fourth proportional to 5,567.53, 7,682.89 and 3,049.51 is: 4,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.53 : 7,682.89 = 3,049.51 : x
  2. Step 2: Convert to fraction form
    5,567.53/7,682.89 = 3,049.51/x
  3. Step 3: Cross multiply
    5,567.53x = 7,682.89 × 3,049.51
  4. Step 4: Simplify right side
    5,567.53x = 23,429,003.85
  5. Step 5: Solve for x
    x = 23,429,003.85/5,567.53
  6. Step 6: Final answer
    x = 4,208.15

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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.