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Finding the Fourth Proportional to 3,013.96, 4,517.47 and 1,164.06

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Solution

The fourth proportional to 3,013.96, 4,517.47 and 1,164.06 is: 1,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.96 : 4,517.47 = 1,164.06 : x
  2. Step 2: Convert to fraction form
    3,013.96/4,517.47 = 1,164.06/x
  3. Step 3: Cross multiply
    3,013.96x = 4,517.47 × 1,164.06
  4. Step 4: Simplify right side
    3,013.96x = 5,258,606.13
  5. Step 5: Solve for x
    x = 5,258,606.13/3,013.96
  6. Step 6: Final answer
    x = 1,744.75

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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.