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Finding the Fourth Proportional to 5,796.48, 8,690.16 and 2,678.48

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Solution

The fourth proportional to 5,796.48, 8,690.16 and 2,678.48 is: 4,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.48 : 8,690.16 = 2,678.48 : x
  2. Step 2: Convert to fraction form
    5,796.48/8,690.16 = 2,678.48/x
  3. Step 3: Cross multiply
    5,796.48x = 8,690.16 × 2,678.48
  4. Step 4: Simplify right side
    5,796.48x = 23,276,419.76
  5. Step 5: Solve for x
    x = 23,276,419.76/5,796.48
  6. Step 6: Final answer
    x = 4,015.61

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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.