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Finding the Fourth Proportional to 4,631.42, 6,951.02 and 4,339.49

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Solution

The fourth proportional to 4,631.42, 6,951.02 and 4,339.49 is: 6,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.42 : 6,951.02 = 4,339.49 : x
  2. Step 2: Convert to fraction form
    4,631.42/6,951.02 = 4,339.49/x
  3. Step 3: Cross multiply
    4,631.42x = 6,951.02 × 4,339.49
  4. Step 4: Simplify right side
    4,631.42x = 30,163,860.08
  5. Step 5: Solve for x
    x = 30,163,860.08/4,631.42
  6. Step 6: Final answer
    x = 6,512.88

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