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Finding the Fourth Proportional to 5,682.37, 7,842.61 and 3,558.71

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Solution

The fourth proportional to 5,682.37, 7,842.61 and 3,558.71 is: 4,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.37 : 7,842.61 = 3,558.71 : x
  2. Step 2: Convert to fraction form
    5,682.37/7,842.61 = 3,558.71/x
  3. Step 3: Cross multiply
    5,682.37x = 7,842.61 × 3,558.71
  4. Step 4: Simplify right side
    5,682.37x = 27,909,517.63
  5. Step 5: Solve for x
    x = 27,909,517.63/5,682.37
  6. Step 6: Final answer
    x = 4,911.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.