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Finding the Fourth Proportional to 4,076.73, 6,114.99 and 1,155

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Solution

The fourth proportional to 4,076.73, 6,114.99 and 1,155 is: 1,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.73 : 6,114.99 = 1,155 : x
  2. Step 2: Convert to fraction form
    4,076.73/6,114.99 = 1,155/x
  3. Step 3: Cross multiply
    4,076.73x = 6,114.99 × 1,155
  4. Step 4: Simplify right side
    4,076.73x = 7,062,813.45
  5. Step 5: Solve for x
    x = 7,062,813.45/4,076.73
  6. Step 6: Final answer
    x = 1,732.47

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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.