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Finding the Fourth Proportional to 4,180.60, 5,930.62 and 4,180.60

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Solution

The fourth proportional to 4,180.60, 5,930.62 and 4,180.60 is: 5,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.60 : 5,930.62 = 4,180.60 : x
  2. Step 2: Convert to fraction form
    4,180.60/5,930.62 = 4,180.60/x
  3. Step 3: Cross multiply
    4,180.60x = 5,930.62 × 4,180.60
  4. Step 4: Simplify right side
    4,180.60x = 24,793,549.97
  5. Step 5: Solve for x
    x = 24,793,549.97/4,180.60
  6. Step 6: Final answer
    x = 5,930.62

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.