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Finding the Fourth Proportional to 3,986.54, 5,498.32 and 3,538.88

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Solution

The fourth proportional to 3,986.54, 5,498.32 and 3,538.88 is: 4,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.54 : 5,498.32 = 3,538.88 : x
  2. Step 2: Convert to fraction form
    3,986.54/5,498.32 = 3,538.88/x
  3. Step 3: Cross multiply
    3,986.54x = 5,498.32 × 3,538.88
  4. Step 4: Simplify right side
    3,986.54x = 19,457,858.34
  5. Step 5: Solve for x
    x = 19,457,858.34/3,986.54
  6. Step 6: Final answer
    x = 4,880.89

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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.