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Finding the Fourth Proportional to 5,052.88, 7,582.20 and 1,768.42

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Solution

The fourth proportional to 5,052.88, 7,582.20 and 1,768.42 is: 2,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.88 : 7,582.20 = 1,768.42 : x
  2. Step 2: Convert to fraction form
    5,052.88/7,582.20 = 1,768.42/x
  3. Step 3: Cross multiply
    5,052.88x = 7,582.20 × 1,768.42
  4. Step 4: Simplify right side
    5,052.88x = 13,408,514.12
  5. Step 5: Solve for x
    x = 13,408,514.12/5,052.88
  6. Step 6: Final answer
    x = 2,653.64

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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.