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Finding the Fourth Proportional to 5,760.60, 8,642.10 and 3,293.40

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Solution

The fourth proportional to 5,760.60, 8,642.10 and 3,293.40 is: 4,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.60 : 8,642.10 = 3,293.40 : x
  2. Step 2: Convert to fraction form
    5,760.60/8,642.10 = 3,293.40/x
  3. Step 3: Cross multiply
    5,760.60x = 8,642.10 × 3,293.40
  4. Step 4: Simplify right side
    5,760.60x = 28,461,892.14
  5. Step 5: Solve for x
    x = 28,461,892.14/5,760.60
  6. Step 6: Final answer
    x = 4,940.79

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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.