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Finding the Fourth Proportional to 5,420.30, 8,120.72 and 5,128.70

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Solution

The fourth proportional to 5,420.30, 8,120.72 and 5,128.70 is: 7,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.30 : 8,120.72 = 5,128.70 : x
  2. Step 2: Convert to fraction form
    5,420.30/8,120.72 = 5,128.70/x
  3. Step 3: Cross multiply
    5,420.30x = 8,120.72 × 5,128.70
  4. Step 4: Simplify right side
    5,420.30x = 41,648,736.66
  5. Step 5: Solve for x
    x = 41,648,736.66/5,420.30
  6. Step 6: Final answer
    x = 7,683.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.