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Finding the Fourth Proportional to 4,052.52, 6,076.84 and 1,454.84

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Solution

The fourth proportional to 4,052.52, 6,076.84 and 1,454.84 is: 2,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.52 : 6,076.84 = 1,454.84 : x
  2. Step 2: Convert to fraction form
    4,052.52/6,076.84 = 1,454.84/x
  3. Step 3: Cross multiply
    4,052.52x = 6,076.84 × 1,454.84
  4. Step 4: Simplify right side
    4,052.52x = 8,840,829.91
  5. Step 5: Solve for x
    x = 8,840,829.91/4,052.52
  6. Step 6: Final answer
    x = 2,181.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.