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Finding the Fourth Proportional to 3,889.69, 5,834.53 and 1,259.40

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Solution

The fourth proportional to 3,889.69, 5,834.53 and 1,259.40 is: 1,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.69 : 5,834.53 = 1,259.40 : x
  2. Step 2: Convert to fraction form
    3,889.69/5,834.53 = 1,259.40/x
  3. Step 3: Cross multiply
    3,889.69x = 5,834.53 × 1,259.40
  4. Step 4: Simplify right side
    3,889.69x = 7,347,997.72
  5. Step 5: Solve for x
    x = 7,347,997.72/3,889.69
  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.