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Finding the Fourth Proportional to 4,471.60, 6,694.60 and 4,010.80

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Solution

The fourth proportional to 4,471.60, 6,694.60 and 4,010.80 is: 6,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.60 : 6,694.60 = 4,010.80 : x
  2. Step 2: Convert to fraction form
    4,471.60/6,694.60 = 4,010.80/x
  3. Step 3: Cross multiply
    4,471.60x = 6,694.60 × 4,010.80
  4. Step 4: Simplify right side
    4,471.60x = 26,850,701.68
  5. Step 5: Solve for x
    x = 26,850,701.68/4,471.60
  6. Step 6: Final answer
    x = 6,004.72

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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.