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Finding the Fourth Proportional to 5,735.14, 8,612.62 and 3,409.76

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Solution

The fourth proportional to 5,735.14, 8,612.62 and 3,409.76 is: 5,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.14 : 8,612.62 = 3,409.76 : x
  2. Step 2: Convert to fraction form
    5,735.14/8,612.62 = 3,409.76/x
  3. Step 3: Cross multiply
    5,735.14x = 8,612.62 × 3,409.76
  4. Step 4: Simplify right side
    5,735.14x = 29,366,967.17
  5. Step 5: Solve for x
    x = 29,366,967.17/5,735.14
  6. Step 6: Final answer
    x = 5,120.53

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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.