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Finding the Fourth Proportional to 5,154.97, 7,732.39 and 1,259.41

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Solution

The fourth proportional to 5,154.97, 7,732.39 and 1,259.41 is: 1,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.97 : 7,732.39 = 1,259.41 : x
  2. Step 2: Convert to fraction form
    5,154.97/7,732.39 = 1,259.41/x
  3. Step 3: Cross multiply
    5,154.97x = 7,732.39 × 1,259.41
  4. Step 4: Simplify right side
    5,154.97x = 9,738,242.99
  5. Step 5: Solve for x
    x = 9,738,242.99/5,154.97
  6. Step 6: Final answer
    x = 1,889.10

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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.