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Finding the Fourth Proportional to 4,742.69, 7,112.41 and 1,820.21

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Solution

The fourth proportional to 4,742.69, 7,112.41 and 1,820.21 is: 2,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.69 : 7,112.41 = 1,820.21 : x
  2. Step 2: Convert to fraction form
    4,742.69/7,112.41 = 1,820.21/x
  3. Step 3: Cross multiply
    4,742.69x = 7,112.41 × 1,820.21
  4. Step 4: Simplify right side
    4,742.69x = 12,946,039.69
  5. Step 5: Solve for x
    x = 12,946,039.69/4,742.69
  6. Step 6: Final answer
    x = 2,729.69

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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.