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Finding the Fourth Proportional to 5,673.37, 7,829.25 and 3,155.42

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Solution

The fourth proportional to 5,673.37, 7,829.25 and 3,155.42 is: 4,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.37 : 7,829.25 = 3,155.42 : x
  2. Step 2: Convert to fraction form
    5,673.37/7,829.25 = 3,155.42/x
  3. Step 3: Cross multiply
    5,673.37x = 7,829.25 × 3,155.42
  4. Step 4: Simplify right side
    5,673.37x = 24,704,532.89
  5. Step 5: Solve for x
    x = 24,704,532.89/5,673.37
  6. Step 6: Final answer
    x = 4,354.48

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