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Finding the Fourth Proportional to 3,820.34, 5,730.52 and 1,971.12

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Solution

The fourth proportional to 3,820.34, 5,730.52 and 1,971.12 is: 2,956.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.34 : 5,730.52 = 1,971.12 : x
  2. Step 2: Convert to fraction form
    3,820.34/5,730.52 = 1,971.12/x
  3. Step 3: Cross multiply
    3,820.34x = 5,730.52 × 1,971.12
  4. Step 4: Simplify right side
    3,820.34x = 11,295,542.58
  5. Step 5: Solve for x
    x = 11,295,542.58/3,820.34
  6. Step 6: Final answer
    x = 2,956.69

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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.