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Finding the Fourth Proportional to 4,151.90, 5,724.12 and 3,354.33

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Solution

The fourth proportional to 4,151.90, 5,724.12 and 3,354.33 is: 4,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.90 : 5,724.12 = 3,354.33 : x
  2. Step 2: Convert to fraction form
    4,151.90/5,724.12 = 3,354.33/x
  3. Step 3: Cross multiply
    4,151.90x = 5,724.12 × 3,354.33
  4. Step 4: Simplify right side
    4,151.90x = 19,200,621.48
  5. Step 5: Solve for x
    x = 19,200,621.48/4,151.90
  6. Step 6: Final answer
    x = 4,624.54

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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.