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Finding the Fourth Proportional to 3,986.16, 5,497.80 and 3,538.50

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Solution

The fourth proportional to 3,986.16, 5,497.80 and 3,538.50 is: 4,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.16 : 5,497.80 = 3,538.50 : x
  2. Step 2: Convert to fraction form
    3,986.16/5,497.80 = 3,538.50/x
  3. Step 3: Cross multiply
    3,986.16x = 5,497.80 × 3,538.50
  4. Step 4: Simplify right side
    3,986.16x = 19,453,965.30
  5. Step 5: Solve for x
    x = 19,453,965.30/3,986.16
  6. Step 6: Final answer
    x = 4,880.38

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Why These Related Problems?

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