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Finding the Fourth Proportional to 5,567.58, 7,682.78 and 3,049.65

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Solution

The fourth proportional to 5,567.58, 7,682.78 and 3,049.65 is: 4,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.58 : 7,682.78 = 3,049.65 : x
  2. Step 2: Convert to fraction form
    5,567.58/7,682.78 = 3,049.65/x
  3. Step 3: Cross multiply
    5,567.58x = 7,682.78 × 3,049.65
  4. Step 4: Simplify right side
    5,567.58x = 23,429,797.65
  5. Step 5: Solve for x
    x = 23,429,797.65/5,567.58
  6. Step 6: Final answer
    x = 4,208.26

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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.