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Finding the Fourth Proportional to 5,259.69, 7,889.94 and 1,364.13

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Solution

The fourth proportional to 5,259.69, 7,889.94 and 1,364.13 is: 2,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.69 : 7,889.94 = 1,364.13 : x
  2. Step 2: Convert to fraction form
    5,259.69/7,889.94 = 1,364.13/x
  3. Step 3: Cross multiply
    5,259.69x = 7,889.94 × 1,364.13
  4. Step 4: Simplify right side
    5,259.69x = 10,762,903.85
  5. Step 5: Solve for x
    x = 10,762,903.85/5,259.69
  6. Step 6: Final answer
    x = 2,046.30

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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.