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Finding the Fourth Proportional to 5,144.90, 7,720.65 and 1,857.69

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Solution

The fourth proportional to 5,144.90, 7,720.65 and 1,857.69 is: 2,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.90 : 7,720.65 = 1,857.69 : x
  2. Step 2: Convert to fraction form
    5,144.90/7,720.65 = 1,857.69/x
  3. Step 3: Cross multiply
    5,144.90x = 7,720.65 × 1,857.69
  4. Step 4: Simplify right side
    5,144.90x = 14,342,574.30
  5. Step 5: Solve for x
    x = 14,342,574.30/5,144.90
  6. Step 6: Final answer
    x = 2,787.73

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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.