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Finding the Fourth Proportional to 4,076.40, 6,114.80 and 1,736.71

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Solution

The fourth proportional to 4,076.40, 6,114.80 and 1,736.71 is: 2,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.40 : 6,114.80 = 1,736.71 : x
  2. Step 2: Convert to fraction form
    4,076.40/6,114.80 = 1,736.71/x
  3. Step 3: Cross multiply
    4,076.40x = 6,114.80 × 1,736.71
  4. Step 4: Simplify right side
    4,076.40x = 10,619,634.31
  5. Step 5: Solve for x
    x = 10,619,634.31/4,076.40
  6. Step 6: Final answer
    x = 2,605.15

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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.