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Finding the Fourth Proportional to 5,173.83, 7,760.64 and 1,278.27

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Solution

The fourth proportional to 5,173.83, 7,760.64 and 1,278.27 is: 1,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.83 : 7,760.64 = 1,278.27 : x
  2. Step 2: Convert to fraction form
    5,173.83/7,760.64 = 1,278.27/x
  3. Step 3: Cross multiply
    5,173.83x = 7,760.64 × 1,278.27
  4. Step 4: Simplify right side
    5,173.83x = 9,920,193.29
  5. Step 5: Solve for x
    x = 9,920,193.29/5,173.83
  6. Step 6: Final answer
    x = 1,917.38

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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.