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Finding the Fourth Proportional to 5,114.97, 7,675.70 and 1,827.99

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Solution

The fourth proportional to 5,114.97, 7,675.70 and 1,827.99 is: 2,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.97 : 7,675.70 = 1,827.99 : x
  2. Step 2: Convert to fraction form
    5,114.97/7,675.70 = 1,827.99/x
  3. Step 3: Cross multiply
    5,114.97x = 7,675.70 × 1,827.99
  4. Step 4: Simplify right side
    5,114.97x = 14,031,093.70
  5. Step 5: Solve for x
    x = 14,031,093.70/5,114.97
  6. Step 6: Final answer
    x = 2,743.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.