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Finding the Fourth Proportional to 5,142.69, 7,673.54 and 4,829.22

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Solution

The fourth proportional to 5,142.69, 7,673.54 and 4,829.22 is: 7,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.69 : 7,673.54 = 4,829.22 : x
  2. Step 2: Convert to fraction form
    5,142.69/7,673.54 = 4,829.22/x
  3. Step 3: Cross multiply
    5,142.69x = 7,673.54 × 4,829.22
  4. Step 4: Simplify right side
    5,142.69x = 37,057,188.69
  5. Step 5: Solve for x
    x = 37,057,188.69/5,142.69
  6. Step 6: Final answer
    x = 7,205.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.