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Finding the Fourth Proportional to 5,097.03, 7,635.28 and 3,241.50

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Solution

The fourth proportional to 5,097.03, 7,635.28 and 3,241.50 is: 4,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.03 : 7,635.28 = 3,241.50 : x
  2. Step 2: Convert to fraction form
    5,097.03/7,635.28 = 3,241.50/x
  3. Step 3: Cross multiply
    5,097.03x = 7,635.28 × 3,241.50
  4. Step 4: Simplify right side
    5,097.03x = 24,749,760.12
  5. Step 5: Solve for x
    x = 24,749,760.12/5,097.03
  6. Step 6: Final answer
    x = 4,855.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.