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Finding the Fourth Proportional to 5,146.14, 7,720.43 and 1,813.89

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Solution

The fourth proportional to 5,146.14, 7,720.43 and 1,813.89 is: 2,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.14 : 7,720.43 = 1,813.89 : x
  2. Step 2: Convert to fraction form
    5,146.14/7,720.43 = 1,813.89/x
  3. Step 3: Cross multiply
    5,146.14x = 7,720.43 × 1,813.89
  4. Step 4: Simplify right side
    5,146.14x = 14,004,001.70
  5. Step 5: Solve for x
    x = 14,004,001.70/5,146.14
  6. Step 6: Final answer
    x = 2,721.26

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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.