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Finding the Fourth Proportional to 5,630.12, 7,764.52 and 4,689.03

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Solution

The fourth proportional to 5,630.12, 7,764.52 and 4,689.03 is: 6,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.12 : 7,764.52 = 4,689.03 : x
  2. Step 2: Convert to fraction form
    5,630.12/7,764.52 = 4,689.03/x
  3. Step 3: Cross multiply
    5,630.12x = 7,764.52 × 4,689.03
  4. Step 4: Simplify right side
    5,630.12x = 36,408,067.22
  5. Step 5: Solve for x
    x = 36,408,067.22/5,630.12
  6. Step 6: Final answer
    x = 6,466.66

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Why These Related Problems?

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