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Finding the Fourth Proportional to 5,568.30, 7,683.85 and 3,050

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Solution

The fourth proportional to 5,568.30, 7,683.85 and 3,050 is: 4,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.30 : 7,683.85 = 3,050 : x
  2. Step 2: Convert to fraction form
    5,568.30/7,683.85 = 3,050/x
  3. Step 3: Cross multiply
    5,568.30x = 7,683.85 × 3,050
  4. Step 4: Simplify right side
    5,568.30x = 23,435,742.50
  5. Step 5: Solve for x
    x = 23,435,742.50/5,568.30
  6. Step 6: Final answer
    x = 4,208.78

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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.