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Finding the Fourth Proportional to 5,214.54, 7,829.10 and 3,567

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Solution

The fourth proportional to 5,214.54, 7,829.10 and 3,567 is: 5,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.54 : 7,829.10 = 3,567 : x
  2. Step 2: Convert to fraction form
    5,214.54/7,829.10 = 3,567/x
  3. Step 3: Cross multiply
    5,214.54x = 7,829.10 × 3,567
  4. Step 4: Simplify right side
    5,214.54x = 27,926,399.70
  5. Step 5: Solve for x
    x = 27,926,399.70/5,214.54
  6. Step 6: Final answer
    x = 5,355.49

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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.