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Finding the Fourth Proportional to 5,673.14, 7,829.33 and 3,315.54

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Solution

The fourth proportional to 5,673.14, 7,829.33 and 3,315.54 is: 4,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.14 : 7,829.33 = 3,315.54 : x
  2. Step 2: Convert to fraction form
    5,673.14/7,829.33 = 3,315.54/x
  3. Step 3: Cross multiply
    5,673.14x = 7,829.33 × 3,315.54
  4. Step 4: Simplify right side
    5,673.14x = 25,958,456.79
  5. Step 5: Solve for x
    x = 25,958,456.79/5,673.14
  6. Step 6: Final answer
    x = 4,575.68

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1.5x scale

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.