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Finding the Fourth Proportional to 5,902.68, 8,843.60 and 5,259.14

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Solution

The fourth proportional to 5,902.68, 8,843.60 and 5,259.14 is: 7,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.68 : 8,843.60 = 5,259.14 : x
  2. Step 2: Convert to fraction form
    5,902.68/8,843.60 = 5,259.14/x
  3. Step 3: Cross multiply
    5,902.68x = 8,843.60 × 5,259.14
  4. Step 4: Simplify right side
    5,902.68x = 46,509,681.92
  5. Step 5: Solve for x
    x = 46,509,681.92/5,902.68
  6. Step 6: Final answer
    x = 7,879.42

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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.