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Finding the Fourth Proportional to 4,666.56, 6,998.76 and 1,378.80

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Solution

The fourth proportional to 4,666.56, 6,998.76 and 1,378.80 is: 2,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.56 : 6,998.76 = 1,378.80 : x
  2. Step 2: Convert to fraction form
    4,666.56/6,998.76 = 1,378.80/x
  3. Step 3: Cross multiply
    4,666.56x = 6,998.76 × 1,378.80
  4. Step 4: Simplify right side
    4,666.56x = 9,649,890.29
  5. Step 5: Solve for x
    x = 9,649,890.29/4,666.56
  6. Step 6: Final answer
    x = 2,067.88

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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.