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Finding the Fourth Proportional to 4,563.52, 6,282.42 and 4,354.54

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Solution

The fourth proportional to 4,563.52, 6,282.42 and 4,354.54 is: 5,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.52 : 6,282.42 = 4,354.54 : x
  2. Step 2: Convert to fraction form
    4,563.52/6,282.42 = 4,354.54/x
  3. Step 3: Cross multiply
    4,563.52x = 6,282.42 × 4,354.54
  4. Step 4: Simplify right side
    4,563.52x = 27,357,049.19
  5. Step 5: Solve for x
    x = 27,357,049.19/4,563.52
  6. Step 6: Final answer
    x = 5,994.73

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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.