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Finding the Fourth Proportional to 4,876.42, 6,729.69 and 2,780.50

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Solution

The fourth proportional to 4,876.42, 6,729.69 and 2,780.50 is: 3,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.42 : 6,729.69 = 2,780.50 : x
  2. Step 2: Convert to fraction form
    4,876.42/6,729.69 = 2,780.50/x
  3. Step 3: Cross multiply
    4,876.42x = 6,729.69 × 2,780.50
  4. Step 4: Simplify right side
    4,876.42x = 18,711,903.05
  5. Step 5: Solve for x
    x = 18,711,903.05/4,876.42
  6. Step 6: Final answer
    x = 3,837.22

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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.