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Finding the Fourth Proportional to 5,114.97, 7,673.13 and 1,827.27

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Solution

The fourth proportional to 5,114.97, 7,673.13 and 1,827.27 is: 2,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.97 : 7,673.13 = 1,827.27 : x
  2. Step 2: Convert to fraction form
    5,114.97/7,673.13 = 1,827.27/x
  3. Step 3: Cross multiply
    5,114.97x = 7,673.13 × 1,827.27
  4. Step 4: Simplify right side
    5,114.97x = 14,020,880.26
  5. Step 5: Solve for x
    x = 14,020,880.26/5,114.97
  6. Step 6: Final answer
    x = 2,741.15

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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.