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Finding the Fourth Proportional to 5,567.44, 7,683.24 and 3,209.68

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Solution

The fourth proportional to 5,567.44, 7,683.24 and 3,209.68 is: 4,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.44 : 7,683.24 = 3,209.68 : x
  2. Step 2: Convert to fraction form
    5,567.44/7,683.24 = 3,209.68/x
  3. Step 3: Cross multiply
    5,567.44x = 7,683.24 × 3,209.68
  4. Step 4: Simplify right side
    5,567.44x = 24,660,741.76
  5. Step 5: Solve for x
    x = 24,660,741.76/5,567.44
  6. Step 6: Final answer
    x = 4,429.46

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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.