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Finding the Fourth Proportional to 5,419.90, 8,117.70 and 4,180.60

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Solution

The fourth proportional to 5,419.90, 8,117.70 and 4,180.60 is: 6,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.90 : 8,117.70 = 4,180.60 : x
  2. Step 2: Convert to fraction form
    5,419.90/8,117.70 = 4,180.60/x
  3. Step 3: Cross multiply
    5,419.90x = 8,117.70 × 4,180.60
  4. Step 4: Simplify right side
    5,419.90x = 33,936,856.62
  5. Step 5: Solve for x
    x = 33,936,856.62/5,419.90
  6. Step 6: Final answer
    x = 6,261.53

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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.