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Finding the Fourth Proportional to 5,567.67, 7,683.75 and 3,209.76

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Solution

The fourth proportional to 5,567.67, 7,683.75 and 3,209.76 is: 4,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.67 : 7,683.75 = 3,209.76 : x
  2. Step 2: Convert to fraction form
    5,567.67/7,683.75 = 3,209.76/x
  3. Step 3: Cross multiply
    5,567.67x = 7,683.75 × 3,209.76
  4. Step 4: Simplify right side
    5,567.67x = 24,662,993.40
  5. Step 5: Solve for x
    x = 24,662,993.40/5,567.67
  6. Step 6: Final answer
    x = 4,429.68

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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.