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Finding the Fourth Proportional to 5,567.96, 7,683.68 and 3,050

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Solution

The fourth proportional to 5,567.96, 7,683.68 and 3,050 is: 4,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.96 : 7,683.68 = 3,050 : x
  2. Step 2: Convert to fraction form
    5,567.96/7,683.68 = 3,050/x
  3. Step 3: Cross multiply
    5,567.96x = 7,683.68 × 3,050
  4. Step 4: Simplify right side
    5,567.96x = 23,435,224
  5. Step 5: Solve for x
    x = 23,435,224/5,567.96
  6. Step 6: Final answer
    x = 4,208.94

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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.